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Strong Convergence Theorems by Modified Four Step Itera tive Scheme with Errors for Three Nonexpansive Mappings

Pankaj Kumar Jhad|Amarjeet Singh Saluja
경북대학교 자연과학대학 수학과|2015.09|Kyungpook Mathematical Journal|제55권 제3호|pp. 667-678

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참고문헌

키워드

Common fixed pointStrong convergenceModi¯ed three step iteration schemeNon- expansive mappingsWeak convergence
주제분류수학

초록

The aim of this paper is to prove strong convergence theorem by a modi¯ed three step iterative process with errors for three nonexpansive mappings in the frame work of uniformly smooth Banach spaces. The main feature of this scheme is that its special cases can handle both strong convergence like Halpern type and weak convergence like Ishikawa type iteration schemes. Our result extend and generalize the result of S. H. Khan [10], Kim and Xu [12] and many other authors.

Abstract

The aim of this paper is to prove strong convergence theorem by a modi¯ed three step iterative process with errors for three nonexpansive mappings in the frame work of uniformly smooth Banach spaces. The main feature of this scheme is that its special cases can handle both strong convergence like Halpern type and weak convergence like Ishikawa type iteration schemes. Our result extend and generalize the result of S. H. Khan [10], Kim and Xu [12] and many other authors.

참고문헌 (22)

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  11. S. H. Khan., "Weak and strong convergence of a scheme with errors for two nonexpansive mappings", Nonlinear Anal., TMA, 61(8), pp.1295~1301 (2005)
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