{"id":38681,"date":"2021-09-07T10:49:09","date_gmt":"2021-09-07T07:49:09","guid":{"rendered":"https:\/\/ihcoedu.uobaghdad.edu.iq\/?p=38681"},"modified":"2021-09-08T11:34:00","modified_gmt":"2021-09-08T08:34:00","slug":"%d9%82%d8%b3%d9%85-%d8%a7%d9%84%d8%b1%d9%8a%d8%a7%d8%b6%d9%8a%d8%a7%d8%aa-%d9%8a%d9%86%d8%a7%d9%82%d8%b4-%d8%b1%d8%b3%d8%a7%d9%84%d8%a9-%d9%85%d8%a7%d8%ac%d8%b3%d8%aa%d9%8a%d8%b1-%d8%aa%d8%a8%d8%ad-18","status":"publish","type":"post","link":"https:\/\/ihcoedu.uobaghdad.edu.iq\/?p=38681","title":{"rendered":"\u0642\u0633\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u064a\u0646\u0627\u0642\u0634 \u0631\u0633\u0627\u0644\u0629 \u0645\u0627\u062c\u0633\u062a\u064a\u0631 \u062a\u0628\u062d\u062b \u0641\u064a \u0628\u0639\u0636 \u0646\u062a\u0627\u0626\u062c \u0627\u0644\u062a\u0642\u0627\u0631\u0628 \u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0627\u0642\u0631\u0628 \u0630\u0627\u062a \u0627\u0644\u062e\u0637\u0648\u0627\u062a \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629"},"content":{"rendered":"<h4 style=\"text-align: justify;\"><\/h4>\n<h4 style=\"text-align: justify;\"><span style=\"color: #000080;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-38684\" src=\"https:\/\/ihcoedu.uobaghdad.edu.iq\/wp-content\/uploads\/sites\/27\/2021\/09\/\u0633\u0639\u062f-\u0634\u0627\u0643\u0631-\u062d\u0633\u064a\u0646-1.jpg\" alt=\"\" width=\"1024\" height=\"683\" srcset=\"https:\/\/ihcoedu.uobaghdad.edu.iq\/wp-content\/uploads\/sites\/27\/2021\/09\/\u0633\u0639\u062f-\u0634\u0627\u0643\u0631-\u062d\u0633\u064a\u0646-1.jpg 1024w, https:\/\/ihcoedu.uobaghdad.edu.iq\/wp-content\/uploads\/sites\/27\/2021\/09\/\u0633\u0639\u062f-\u0634\u0627\u0643\u0631-\u062d\u0633\u064a\u0646-1-300x200.jpg 300w, https:\/\/ihcoedu.uobaghdad.edu.iq\/wp-content\/uploads\/sites\/27\/2021\/09\/\u0633\u0639\u062f-\u0634\u0627\u0643\u0631-\u062d\u0633\u064a\u0646-1-768x512.jpg 768w, https:\/\/ihcoedu.uobaghdad.edu.iq\/wp-content\/uploads\/sites\/27\/2021\/09\/\u0633\u0639\u062f-\u0634\u0627\u0643\u0631-\u062d\u0633\u064a\u0646-1-600x400.jpg 600w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/span><\/h4>\n<h4 style=\"text-align: justify;\"><span style=\"color: #000080;\">\u0646\u0627\u0642\u0634 \u0642\u0633\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0641\u064a \u0643\u0644\u064a\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0629 \u0644\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0635\u0631\u0641\u0629 (\u0627\u0628\u0646 \u0627\u0644\u0647\u064a\u062b\u0645) \u0631\u0633\u0627\u0644\u0629 \u0627\u0644\u0645\u0627\u062c\u0633\u062a\u064a\u0631 \u0627\u0644\u0645\u0648\u0633\u0648\u0645\u0629 (\u0628\u0639\u0636 \u0646\u062a\u0627\u0626\u062c \u0627\u0644\u062a\u0642\u0627\u0631\u0628 \u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0627\u0642\u0631\u0628 \u0630\u0627\u062a \u0627\u0644\u062e\u0637\u0648\u0627\u062a \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629) \u0644\u0644\u0637\u0627\u0644\u0628 ( \u0633\u0639\u062f \u0634\u0627\u0643\u0631 \u062d\u0633\u064a\u0646 ) \u0627\u0644\u062a\u064a \u0627\u0646\u062c\u0632\u0647\u0627 \u062a\u062d\u062a \u0627\u0634\u0631\u0627\u0641 \u0627\u0644\u062a\u062f\u0631\u064a\u0633\u064a\u0629 \u0641\u064a \u0627\u0644\u0642\u0633\u0645 (\u0623.\u0645.\u062f. \u0632\u064a\u0646\u0629 \u062d\u0633\u064a\u0646 \u0645\u0639\u064a\u0628\u062f) \u0648\u0646\u0648\u0642\u0634\u062a \u0645\u0646 \u0642\u0628\u0644 \u0623\u0639\u0636\u0627\u0621 \u0644\u062c\u0646\u0629 \u0627\u0644\u0645\u0646\u0627\u0642\u0634\u0629 \u0627\u0644\u0645\u0628\u064a\u0646\u0629 \u0623\u0633\u0645\u0627\u0626\u0647\u0645 \u0641\u064a\u0645\u0627 \u064a\u0623\u062a\u064a :<\/span><\/h4>\n<ul style=\"text-align: justify;\">\n<li>\n<h4><span style=\"color: #000080;\">\u0623.\u0645.\u062f. \u0641\u0627\u0637\u0645\u0629 \u0641\u064a\u0635\u0644 \u0643\u0631\u064a\u0645 (\u0631\u0626\u064a\u0633\u0627)<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000080;\">\u0623.\u0645.\u062f. \u064a\u0648\u0633\u0641 \u064a\u0639\u0643\u0648\u0628 \u064a\u0648\u0633\u0641 (\u0639\u0636\u0648\u0627)<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000080;\">\u0623.\u0645.\u062f. \u0641\u0627\u0631\u0639\u0629 \u0639\u0644\u064a \u062c\u064a\u062c\u0627\u0646 (\u0639\u0636\u0648\u0627)<\/span><\/h4>\n<\/li>\n<li>\n<h4><span style=\"color: #000080;\">\u0623.\u0645.\u062f. \u0632\u064a\u0646\u0629 \u062d\u0633\u064a\u0646 \u0645\u0639\u064a\u0628\u062f (\u0639\u0636\u0648\u0627 \u0648\u0645\u0634\u0631\u0641\u0627)<\/span><\/h4>\n<\/li>\n<\/ul>\n<h4 style=\"text-align: justify;\"><span style=\"color: #000080;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-38686\" src=\"https:\/\/ihcoedu.uobaghdad.edu.iq\/wp-content\/uploads\/sites\/27\/2021\/09\/\u0633\u0639\u062f-\u0634\u0627\u0643\u0631-\u062d\u0633\u064a\u0646-8.jpg\" alt=\"\" width=\"1024\" height=\"682\" srcset=\"https:\/\/ihcoedu.uobaghdad.edu.iq\/wp-content\/uploads\/sites\/27\/2021\/09\/\u0633\u0639\u062f-\u0634\u0627\u0643\u0631-\u062d\u0633\u064a\u0646-8.jpg 1024w, https:\/\/ihcoedu.uobaghdad.edu.iq\/wp-content\/uploads\/sites\/27\/2021\/09\/\u0633\u0639\u062f-\u0634\u0627\u0643\u0631-\u062d\u0633\u064a\u0646-8-300x200.jpg 300w, https:\/\/ihcoedu.uobaghdad.edu.iq\/wp-content\/uploads\/sites\/27\/2021\/09\/\u0633\u0639\u062f-\u0634\u0627\u0643\u0631-\u062d\u0633\u064a\u0646-8-768x512.jpg 768w, https:\/\/ihcoedu.uobaghdad.edu.iq\/wp-content\/uploads\/sites\/27\/2021\/09\/\u0633\u0639\u062f-\u0634\u0627\u0643\u0631-\u062d\u0633\u064a\u0646-8-600x400.jpg 600w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/>\u00a0\u0641\u064a \u0647\u0630\u0647 \u0627\u0644\u0631\u0633\u0627\u0644\u0629 \u060c \u0642\u062f\u0645\u0646\u0627 \u062b\u0644\u0627\u062b \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a\u00a0 \u062c\u062f\u064a\u062f\u0629 \u062a\u0633\u0645\u0649 Mann-Z \u0627\u0644\u0645\u0639\u062f\u0644\u0629 \u0648 Mann-S\u0627\u0644\u0645\u0639\u062f\u0644\u0629 \u00a0\u0648 ZSY \u0627\u0644\u062a\u0643\u0631\u0627\u0631\u064a\u0629 \u060c \u0648 \u0639\u0631\u0641\u0646\u0627 \u0646\u0648\u0639\u0627 \u062c\u062f\u064a\u062f\u0627 \u0645\u0646 \u062a\u0637\u0628\u064a\u0642 \u0627\u0644\u0627\u0646\u0643\u0645\u0627\u0634 \u064a\u0633\u0645\u0649 \u0627\u0644\u0645\u0639\u0645\u0645 like \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0627\u0646\u0643\u0645\u0627\u0634. \u0623\u062b\u0628\u062a\u0646\u0627 \u0623\u0646 \u0644\u062f\u064a\u0646\u0627 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 ZSY \u0623\u0633\u0631\u0639 \u0645\u0646 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 S \u0648 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 Mann\u0627\u0644\u0645\u062e\u0637\u0637\u0627\u062a \u0627\u0644\u062a\u0643\u0631\u0627\u0631\u064a\u0629 \u0627\u0644\u0631\u0627\u0626\u062f\u0629 \u0627\u0644\u062d\u0627\u0644\u064a\u0629 \u060c \u0648 \u0627\u0646\u0647 \u0623\u0633\u0631\u0639 \u0645\u0646 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629\u00a0 \u0627\u0644\u062c\u062f\u064a\u062f\u0629 (Mann-Z \u0627\u0644\u0645\u0639\u062f\u0644 \u060c Mann-S \u0627\u0644\u0645\u0639\u062f\u0644) \u0644\u062a\u0642\u0631\u064a\u0628 \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u062b\u0627\u0628\u062a\u0629. \u0645\u0646 \u0646\u0627\u062d\u064a\u0629 \u0623\u062e\u0631\u0649\u060c \u0641\u0627\u0646 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0642\u0631\u064a\u0628\u0629 \u0627\u0644\u0645\u0639\u062f\u0644\u0629 Mann-Z \u0623\u0641\u0636\u0644 \u0645\u0646 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629\u00a0 Mann \u0648 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 S \u0648 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 Mann-S \u0627\u0644\u0645\u0639\u062f\u0644\u0629 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u0639\u0645\u0645 like \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0627\u0646\u0643\u0645\u0627\u0634 \u0641\u064a \u0627\u0644\u0645\u0633\u0627\u062d\u0629 \u0627\u0644\u0645\u0639\u064a\u0627\u0631\u064a\u0629. \u0623\u064a\u0636\u0627\u060c \u0623\u062b\u0628\u062a\u0646\u0627 \u0627\u0646 \u0627\u0644\u062a\u0643\u0631\u0627\u0631 Mann-Z \u0627\u0644\u0645\u0639\u062f\u0644 \u064a\u0643\u0627\u0641\u0626 \u0643\u0644 \u0645\u0646 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a (ZSY-\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u060c Mann-S \u0627\u0644\u0645\u0639\u062f\u0644\u060c \u0645\u0627\u0646\u060c S\u060c \u062a\u0639\u062f\u064a\u0644 SP\u060c \u0625\u064a\u0634\u064a\u0643\u0627\u0648\u0627\u060c \u0628\u064a\u0643\u0627\u0631\u062f-S\u060c M\u060c \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629N-\u060c \u0646\u0648\u0631\u060c\u00a0 k\u060c ) \u0627\u0644\u0645\u062a\u0639\u0644\u0642\u0629 \u0628\u062a\u0642\u0631\u064a\u0628\u0647\u0627 \u0625\u0644\u0649 \u0646\u0642\u0627\u0637 \u062b\u0627\u0628\u062a\u0629 \u0641\u064a \u0627\u0644\u0641\u0636\u0627\u0621 uniformly \u00a0\u0628\u0646\u0627\u062e\u060c \u0648\u0646\u062d\u0646 \u0639\u0631\u0636\u0646\u0627 \u0627\u0644\u062a\u0642\u0627\u0631\u0628 \u0644\u0643\u0644 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0625\u0644\u0649 \u0646\u0642\u0637\u0629 \u062b\u0627\u0628\u062a\u0629 \u0645\u0639 \u0635\u0648\u0631\u062a\u0647\u0627. \u0643\u0645\u0627 \u0646\u0642\u062f\u0645 \u062a\u0648\u0636\u064a\u062d\u0627 \u0631\u0642\u0645\u064a\u0627 \u0644\u062a\u0648\u0636\u064a\u062d \u0623\u0646 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u062b\u0627\u0628\u062a\u0629 \u0644\u062f\u064a\u0646\u0627 \u0623\u0641\u0636\u0644 \u0645\u0646 \u0627\u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u0623\u062e\u0631\u0649 \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u0645\u0639\u0645\u0645 like \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0627\u0646\u0643\u0645\u0627\u0634.<\/span><\/h4>\n<hr \/>\n<h3 style=\"text-align: left;\"><span style=\"color: #993366;\">Some Convergence Results for Proximal Point Algorithms with Different Steps<\/span><\/h3>\n<h3 style=\"text-align: left;\"><span style=\"color: #993366;\">By Sa&#8217;ad Shakir Hussein<\/span><\/h3>\n<h3 style=\"text-align: left;\"><span style=\"color: #993366;\">Supervised by Supervised By Assist Prof. Dr. Zena Hussein Maibed<\/span><\/h3>\n<h3 style=\"text-align: left;\"><span style=\"color: #993366;\">Abstract<\/span><\/h3>\n<h3 style=\"text-align: left;\"><span style=\"color: #993366;\">In this thesis, we to introduce a new algorithms type different steps called Modified Mann-Z, Modified Mann-S and ZSY- algorithm and we defined nw type of contraction mapping called generalized like contraction mapping. We proved that our algorithm (ZSY- algorithm) is faster than S- algorithm and Mann- algorithm the existing leading algorithms, and it is faster from a new algorithm (Modified Mann-Z, Modified Mann-S) for the approximation of fixed point.<\/span><\/h3>\n<h3 style=\"text-align: left;\"><span style=\"color: #993366;\">On the other hand, the Modified Mann-Z\u00a0 proximal point algorithms are better than of Mann- algorithm, S- algorithm, and Modified Mann-S\u00a0 algorithm in terms of using generalized like contraction mappings in normd space.<\/span><\/h3>\n<h3 style=\"text-align: left;\"><span style=\"color: #993366;\">Also, we prove the equivalence of the Modified Mann-Z proximal point algorithm of all these proximal point algorithms (ZSY- algorithm, Modified Mann-S, Mann, S, Modified SP, Ishikawa, Picard-S , M, N-algorithm, Noor, k, M*-algorithms) that are related to its approximate to fixed points in uniformly Banach space. Moreover, the convergence of each algorithm are proved with it&#8217;s their image. Furthermore, a numerical illustration to show \u00a0\u00a0that our proximal point algorithm \u00a0are better than the other algorithms is presented by generalized like contraction mapping.<\/span><\/h3>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0646\u0627\u0642\u0634 \u0642\u0633\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u0641\u064a \u0643\u0644\u064a\u0629 \u0627\u0644\u062a\u0631\u0628\u064a\u0629 \u0644\u0644\u0639\u0644\u0648\u0645 \u0627\u0644\u0635\u0631\u0641\u0629 (\u0627\u0628\u0646 \u0627\u0644\u0647\u064a\u062b\u0645) \u0631\u0633\u0627\u0644\u0629 \u0627\u0644\u0645\u0627\u062c\u0633\u062a\u064a\u0631 \u0627\u0644\u0645\u0648\u0633\u0648\u0645\u0629 (\u0628\u0639\u0636 \u0646\u062a\u0627\u0626\u062c \u0627\u0644\u062a\u0642\u0627\u0631\u0628 \u0644\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0627\u0642\u0631\u0628 \u0630\u0627\u062a&#8230;.<a class=\"cz_readmore\" href=\"https:\/\/ihcoedu.uobaghdad.edu.iq\/?p=38681\"><i class=\"fa fa-angle-left\" aria-hidden=\"true\"><\/i><span>\u0627\u0644\u0645\u0632\u064a\u062f<\/span><\/a><\/p>\n","protected":false},"author":25,"featured_media":38685,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_lmt_disableupdate":"no","_lmt_disable":"","footnotes":""},"categories":[7,59,16],"tags":[23,49],"class_list":["post-38681","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-7","category-59","category-16","tag-ihcoedu","tag-math"],"modified_by":"ihcoedu","_links":{"self":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/posts\/38681","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/users\/25"}],"replies":[{"embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=38681"}],"version-history":[{"count":0,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/posts\/38681\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=\/wp\/v2\/media\/38685"}],"wp:attachment":[{"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=38681"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=38681"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ihcoedu.uobaghdad.edu.iq\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=38681"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}