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CONVERGENCE THEOREMS OF IMPLICIT ITERATION PROCESS WITH ERRORS FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN THE INTERMEDIATE SENSE IN BANACH SPACES

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The aim of this article is to study an implicit iteration process with errors for a nite family of non-Lipschitzian asymptotically non-expansive mappings in the intermediate sense in Banach spaces. Also we establish some strong convergence theorems and a weak convergence theorem for said scheme to converge to a common xed point for non-Lipschitzian asymptotically nonexpansive mappings in the intermediate sense. The results presented in this paper extend and improve the corre-sponding results of [1], [3]-[8], [10]-[11], [13]-[14], [16] and many others.

Abstract

The aim of this article is to study an implicit iteration process with errors for a nite family of non-Lipschitzian asymptotically non-expansive mappings in the intermediate sense in Banach spaces. Also we establish some strong convergence theorems and a weak convergence theorem for said scheme to converge to a common xed point for non-Lipschitzian asymptotically nonexpansive mappings in the intermediate sense. The results presented in this paper extend and improve the corre-sponding results of [1], [3]-[8], [10]-[11], [13]-[14], [16] and many others.

참고문헌 (18)

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