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

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

ㆍ 저자명: Saluja. G.S.
ㆍ 간행물명: East Asian mathematical journal
ㆍ 권/호정보: 2012년|28권 1호|pp.63-71 (9 pages)
ㆍ 발행정보: 영남수학회
ㆍ 파일정보: 정기간행물|ENG|
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ㆍ 주제분야: 기타

이 논문은 한국과학기술정보연구원과 논문 연계를 통해 무료로 제공되는 원문입니다.

서지반출

기타언어초록

The aim of this article is to study an implicit iteration process with errors for a finite 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 fixed point for non Lipschitzian asymptotically nonexpansive mappings in the intermediate sense. The results presented in this paper extend and improve the corresponding results of [1], [3]-[8], [10]-[11], [13]-[14], [16] and many others.

키워드

Asymptotically nonexpansive mapping in the intermediate sense common fixed point implicit iteration process with errors Banach space strong convergence weak convergence

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