The Krasnosel’Skiĭ–Mann algorithm for a countable family of non-self Lipschitzian mappings

Rajendra Pant; Rahul Shukla

doi:10.12775/TMNA.2020.021

The Krasnosel’Skiĭ–Mann algorithm for a countable family of non-self Lipschitzian mappings

Rajendra Pant
, Rahul Shukla

University of Johannesburg

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

2 Citations (Scopus)

Abstract

In this paper, we address an open question regarding common fixed points of a family of non-self mappings. More precisely, we employ the Krasnosel’skiĭ–Mann algorithm to approximate common fixed points of a countable family of Lipschitzian non-self mappings in Banach spaces under different conditions.

Original language	English
Pages (from-to)	325-348
Number of pages	24
Journal	Topological Methods in Nonlinear Analysis
Volume	56
Issue number	1
DOIs	https://doi.org/10.12775/TMNA.2020.021
Publication status	Published - 2020
Externally published	Yes

Keywords

Banach space
Inward condition
Nonexpnasive mapping

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.12775/TMNA.2020.021

Cite this

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abstract = "In this paper, we address an open question regarding common fixed points of a family of non-self mappings. More precisely, we employ the Krasnosel{\textquoteright}skiĭ–Mann algorithm to approximate common fixed points of a countable family of Lipschitzian non-self mappings in Banach spaces under different conditions.",

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AU - Shukla, Rahul

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AB - In this paper, we address an open question regarding common fixed points of a family of non-self mappings. More precisely, we employ the Krasnosel’skiĭ–Mann algorithm to approximate common fixed points of a countable family of Lipschitzian non-self mappings in Banach spaces under different conditions.

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KW - Inward condition

KW - Nonexpnasive mapping

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ER -

The Krasnosel’Skiĭ–Mann algorithm for a countable family of non-self Lipschitzian mappings

Abstract

Keywords

ASJC Scopus subject areas

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