Fixed point results for a class of nonexpansive type mappings in banach spaces

Rajendra Pant; Prashant Patel; Rahul Shukla

doi:10.31197/atnaa.878951

Fixed point results for a class of nonexpansive type mappings in banach spaces

Rajendra Pant
, Prashant Patel
, Rahul Shukla

University of Johannesburg

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

7 Citations (Scopus)

Abstract

In this paper, we present some new fixed point results for a well-known class of generalized nonexpansive type mappings and associated Krasnosel'ski¨ type mappings in Banach spaces. Further, we consider Mann type iteration procedure for finding a common fixed point of a nonexpansive type semigroup. We also present a couple of nontrivial examples to illustrate facts and show numerical convergence.

Original language	English
Pages (from-to)	368-381
Number of pages	14
Journal	Advances in the Theory of Nonlinear Analysis and its Applications
Volume	5
Issue number	3
DOIs	https://doi.org/10.31197/atnaa.878951
Publication status	Published - 2021
Externally published	Yes

Keywords

Banach space
Condition (E)
Nonexpansive semigroup
Nonexpnasive mapping

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.31197/atnaa.878951

Cite this

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title = "Fixed point results for a class of nonexpansive type mappings in banach spaces",

abstract = "In this paper, we present some new fixed point results for a well-known class of generalized nonexpansive type mappings and associated Krasnosel'ski¨ type mappings in Banach spaces. Further, we consider Mann type iteration procedure for finding a common fixed point of a nonexpansive type semigroup. We also present a couple of nontrivial examples to illustrate facts and show numerical convergence.",

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AU - Pant, Rajendra

AU - Patel, Prashant

AU - Shukla, Rahul

PY - 2021

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N2 - In this paper, we present some new fixed point results for a well-known class of generalized nonexpansive type mappings and associated Krasnosel'ski¨ type mappings in Banach spaces. Further, we consider Mann type iteration procedure for finding a common fixed point of a nonexpansive type semigroup. We also present a couple of nontrivial examples to illustrate facts and show numerical convergence.

AB - In this paper, we present some new fixed point results for a well-known class of generalized nonexpansive type mappings and associated Krasnosel'ski¨ type mappings in Banach spaces. Further, we consider Mann type iteration procedure for finding a common fixed point of a nonexpansive type semigroup. We also present a couple of nontrivial examples to illustrate facts and show numerical convergence.

KW - Banach space

KW - Condition (E)

KW - Nonexpansive semigroup

KW - Nonexpnasive mapping

UR - https://www.scopus.com/pages/publications/85116857742

U2 - 10.31197/atnaa.878951

DO - 10.31197/atnaa.878951

M3 - Article

AN - SCOPUS:85116857742

SN - 2587-2648

VL - 5

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EP - 381

JO - Advances in the Theory of Nonlinear Analysis and its Applications

JF - Advances in the Theory of Nonlinear Analysis and its Applications

IS - 3

ER -

Fixed point results for a class of nonexpansive type mappings in banach spaces

Abstract

Keywords

ASJC Scopus subject areas

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