Convergence of RK-iterative process for generalized nonexpansive mappings in CAT(0) spaces

Ritika; Safeer H Khan

doi:10.1142/S1793557119500773

Convergence of RK-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

5 Scopus citations

Abstract

In this paper, we introduce a new four-step iterative process and name it as RK-iterative process and prove some Δ-convergence and strong convergence results using this process for generalized nonexpansive mappings in CAT(0) spaces. Our results generalize the corresponding results of many authors in different directions.

Original language	English
Article number	1950077
Journal	Asian-European Journal of Mathematics
Volume	12
Issue number	5
DOIs	https://doi.org/10.1142/S1793557119500773
State	Published - Oct 1 2019

Keywords

CAT(0) spaces
generalized nonexpansive mappings
RK-iterative process
strong convergence
Δ-convergence

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10.1142/S1793557119500773

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title = "Convergence of RK-iterative process for generalized nonexpansive mappings in CAT(0) spaces",

abstract = "In this paper, we introduce a new four-step iterative process and name it as RK-iterative process and prove some Δ-convergence and strong convergence results using this process for generalized nonexpansive mappings in CAT(0) spaces. Our results generalize the corresponding results of many authors in different directions.",

keywords = "CAT(0) spaces, generalized nonexpansive mappings, RK-iterative process, strong convergence, Δ-convergence",

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N2 - In this paper, we introduce a new four-step iterative process and name it as RK-iterative process and prove some Δ-convergence and strong convergence results using this process for generalized nonexpansive mappings in CAT(0) spaces. Our results generalize the corresponding results of many authors in different directions.

AB - In this paper, we introduce a new four-step iterative process and name it as RK-iterative process and prove some Δ-convergence and strong convergence results using this process for generalized nonexpansive mappings in CAT(0) spaces. Our results generalize the corresponding results of many authors in different directions.

KW - CAT(0) spaces

KW - generalized nonexpansive mappings

KW - RK-iterative process

KW - strong convergence

KW - Δ-convergence

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Convergence of RK-iterative process for generalized nonexpansive mappings in CAT(0) spaces

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Keywords

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