APPROXIMATION OF FIXED POINTS FOR CLASS OF GENERALIZED NONEXPANSIVE MAPPING VIA NEW ITERATION PROCESS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 56

Volume : 19 , Issue : 3
DOI: https://doi.org/10.56827/SEAJMMS.2023.1903.13
Author :
Samir Dashputre (Department of Mathematics, Shahid Durwasha Nishad Govt. College, Arjunda, Balod - 491225, Chhattisgarh, INDIA)
Rakesh Tiwari (Department of Mathematics, Govt. V.Y.T. PG Autonomous College, Durg - 491001, Chhattisgarh, INDIA)
Jaynendra Shrivas (Department of Mathematics, Govt. V.Y.T. PG Autonomous College, Durg - 491001, Chhattisgarh, INDIA)

Abstract

In this paper, we establish strong and $\Delta$-converges theorem for the class of generalized nonexpansive mapping via new iteration process (SRJ-iteration) in CAT(0) space. Our result generalizes and extends the results of Varatechakongka et al. [31] and Ullah et al. [30].

Keywords and Phrases

CAT(0) space, condition $(B_{\gamma,\mu})$, strong and $\Delta$- convergence theorems.

A.M.S. subject classification

47H10, 54H25, 54E50.

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