Convergence of picard-mann hybrid iterative process for generalized nonexpansive mappings in cat(0) spaces

Ritika; Safeer H Khan

doi:10.2298/FIL1711531R

Convergence of picard-mann hybrid iterative process for generalized nonexpansive mappings in cat(0) spaces

Ritika
, Safeer H Khan

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

In this paper, we first prove existence of fixed points of generalized nonexpansive mappings in CAT(0) spaces. These are the mappings which satisfy the so-called condition (E). We then approximate them by the △-convergence and strong convergence using Picard-Mann hybrid iterative process. Our results generalize the corresponding results of many authors.

Original language	English
Pages (from-to)	3531-3538
Number of pages	8
Journal	Filomat
Volume	31
Issue number	11
DOIs	https://doi.org/10.2298/FIL1711531R
State	Published - Jan 1 2017

Keywords

CAT(0) space
Condition (E)
Generalized nonexpansive mapping
Hybrid iterative process
△ -convergence and strong convergence

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10.2298/FIL1711531R

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abstract = "In this paper, we first prove existence of fixed points of generalized nonexpansive mappings in CAT(0) spaces. These are the mappings which satisfy the so-called condition (E). We then approximate them by the △-convergence and strong convergence using Picard-Mann hybrid iterative process. Our results generalize the corresponding results of many authors.",

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N2 - In this paper, we first prove existence of fixed points of generalized nonexpansive mappings in CAT(0) spaces. These are the mappings which satisfy the so-called condition (E). We then approximate them by the △-convergence and strong convergence using Picard-Mann hybrid iterative process. Our results generalize the corresponding results of many authors.

AB - In this paper, we first prove existence of fixed points of generalized nonexpansive mappings in CAT(0) spaces. These are the mappings which satisfy the so-called condition (E). We then approximate them by the △-convergence and strong convergence using Picard-Mann hybrid iterative process. Our results generalize the corresponding results of many authors.

KW - CAT(0) space

KW - Condition (E)

KW - Generalized nonexpansive mapping

KW - Hybrid iterative process

KW - △ -convergence and strong convergence

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Convergence of picard-mann hybrid iterative process for generalized nonexpansive mappings in cat(0) spaces

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Keywords

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