{"id":32914,"date":"2020-08-29T14:29:29","date_gmt":"2020-08-29T11:29:29","guid":{"rendered":"http:\/\/ihcoedu.uobaghdad.edu.iq\/?p=32914"},"modified":"2020-09-15T13:43:28","modified_gmt":"2020-09-15T10:43:28","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-%d8%a7%d8%b7%d8%b1%d9%88%d8%ad%d8%a9-%d8%af%d9%83%d8%aa%d9%88","status":"publish","type":"post","link":"https:\/\/ihcoedu.uobaghdad.edu.iq\/?p=32914","title":{"rendered":"\u0642\u0633\u0645 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0627\u062a \u064a\u0646\u0627\u0642\u0634 \u0631\u0633\u0627\u0644\u0629 \u0627\u0637\u0631\u0648\u062d\u0629 \u062f\u0643\u062a\u0648\u0631\u0627\u0647 \u062a\u0628\u062d\u062b \u0641\u064a \u0645\u0628\u0631\u0647\u0646\u0627\u062a \u062a\u0642\u0627\u0631\u0628 \u0627\u0644\u0646\u0642\u0637\u0629 \u0627\u0644\u0635\u0627\u0645\u062f\u0629 \u0627\u0644\u0639\u0634\u0648\u0627\u0626\u064a\u0629"},"content":{"rendered":"

\"\"<\/strong><\/span><\/h4>\n

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    \n
  • \n

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  • \n

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  • \n

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  • \n

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  • \n

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    <\/h4>\n

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    \n

    Approximating Random Fixed Point Theorems with Applications<\/span><\/h3>\n

    By Sabah .H.Malih<\/span><\/h3>\n

    Supervised by Asst.prof.Dr.Salwa.S.Abid<\/span><\/h3>\n

    Abstract<\/span><\/h3>\n

    Random nonlinear analysis is an important mathematical discipline which is mainly concerned with the study of random nonlinear operators and their properties and is much needed for the study of various classes of random equations.This thesis aims to study the convergence (strong\/ weak) of some types of random iteration processes under various random nonexpansive operators. The operators that will be adopted here are nonexpansive, asymptotically nonexpansive, monotone asymptotically nonexpansive and some other generalizations of random nonexpansive operators such as,<\/span><\/h3>\n

    Random C-condition: implies<\/span><\/h3>\n

    Random -condition:or wher<\/span><\/h3>\n

    Random -condition: if one operator\u00a0=\u00a0 \u00a0\u00a0<\/span><\/h3>\n

    Random-where are random operators on a separable Banach space .In the arbitrary separable Banach space, we construct different random iterative schemes for the above operators which are random Fibonacci\u2013Mann (one-step and two-step) scheme, random two-step Anupam Sharma and Mohammad Imdad (RABI) scheme \u00a0two operator, random two-step with retraction mapping Anupam Sharma and Mohammad (RPI) scheme, random three step Anupam Sharma and Mohammad (RNSI) scheme and random two step Agarwal (RSI) scheme.\u00a0 Throughout this work, the convergence of these iterative schemes to random fixed points and common random fixed points is studied which requires two things which are proving some principles of semi-closedness for the operators under discussion and presenting many concepts, inequalities and relations in the setting of random operators.It is worth mentioning here, the results concerning the stability of random fixed point iteration procedures associated above operators are also presented. Finally, the thesis includes proving the existence and uniqueness of the solution to a random integral equation<\/span><\/h3>\n

     <\/p>\n","protected":false},"excerpt":{"rendered":"

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