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Register a new userApproximation of fixed points of quasi-contractive operators by newiterationmethod
تقريب النقط الثابتة للتطبيقات شبه المقلصة بوساطة قانون تدريجي جديد
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عدنان متيلج( باحث )
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في هذا البحث نقترح صيغة تدريجية جديدة لإيجاد النقط الثابتة لصنف محدد من التطبيقات شبه المقلصة معرفة على مجموعة جزئية محدبة, مغلقة من فضاء Banach, و نبرهن أن تقاربهايكافئ تقارب كل من الصيغ Mann ,Ishikaw ,Noor, (5))) نحو نقطة ثابتة للمؤثر شبه المقلص (contractive-Like operator) . نبرهن أيضاً أن تقارب الصيغة الجديدةأسرع من تقارب)Noor,Ishikawa, (Mann, و لكن تقارب(5) أسرع من تقارب الصيغة الجديدةلهذا النوع من المؤثرات .
In this paper, we suggest anew iterative method for finding fixed points of a certain class ofquasi-contractive operators defined in a closed, convexsubset of a Banach space. Weprove that the convergence of this new iteration is equivalent to the convergence of (Mann,Ishikawa, Noor, (5)) iteration when we use the mapping(contractive-Like operator). Also We prove that the new iteration, is faster than the(Noor , Ishikawa ,Mann) iteration method but the process (5) is faster than the new process for this class of operators .
References used
(Noor.M.A,New approximation schemes for general variationalinequalities, Journal of mathematical analysis and applications,vol.251,no.1,pp.217-229(2000
Agarwal.R.P,Regan .D.O, and Sahu.D.R,Iterative construction of fixed points ofnearly asymptotically non expansive mappings,Journal of non linear and convex analysis ,Vol.8,No.1, 2007,pp.61-79
Pheungrattana.W and Suantai.S,On the rate of convergence of Mann, Ishikawa,Noor and SP Iterations for continuous on an arbitrary interval, Journal of computational and applied mathematics,Vol.235,No.9 ,2011
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