Fixed point theorems for a new class of nonexpansive mappings

Rajendra Pant; Rahul Shukla

doi:10.4995/agt.2022.17359

Fixed point theorems for a new class of nonexpansive mappings

Rajendra Pant, Rahul Shukla

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

3 Citations (Scopus)

Abstract

We consider a new class of nonlinear mappings that generalizes two well-known classes of nonexpansive type mappings and extends some other classes of mappings. We present some existence and convergence results for this class of mappings. Some illustrative examples presented herein show the generality of the obtained results.

Original language	English
Pages (from-to)	377-390
Number of pages	14
Journal	Applied General Topology
Volume	23
Issue number	2
DOIs	https://doi.org/10.4995/agt.2022.17359
Publication status	Published - 3 Oct 2022
Externally published	Yes

Keywords

Opial property
condition (C)
α-nonexpansive

ASJC Scopus subject areas

Geometry and Topology

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10.4995/agt.2022.17359

Cite this

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title = "Fixed point theorems for a new class of nonexpansive mappings",

abstract = "We consider a new class of nonlinear mappings that generalizes two well-known classes of nonexpansive type mappings and extends some other classes of mappings. We present some existence and convergence results for this class of mappings. Some illustrative examples presented herein show the generality of the obtained results.",

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author = "Rajendra Pant and Rahul Shukla",

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year = "2022",

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AU - Shukla, Rahul

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Y1 - 2022/10/3

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AB - We consider a new class of nonlinear mappings that generalizes two well-known classes of nonexpansive type mappings and extends some other classes of mappings. We present some existence and convergence results for this class of mappings. Some illustrative examples presented herein show the generality of the obtained results.

KW - Opial property

KW - condition (C)

KW - α-nonexpansive

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DO - 10.4995/agt.2022.17359

M3 - Article

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Fixed point theorems for a new class of nonexpansive mappings

Abstract

Keywords

ASJC Scopus subject areas

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