Fixed point theorems for nonexpansive type mappings in Banach spaces

Rajendra Pant; Prashant Patel; Rahul Shukla; Manuel De la Sen

doi:10.3390/sym13040585

Fixed point theorems for nonexpansive type mappings in Banach spaces

Rajendra Pant, Prashant Patel, Rahul Shukla, Manuel De la Sen

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

12 Citations (Scopus)

Abstract

In this paper, we present some fixed point results for a class of nonexpansive type and α-Krasnosel’skiĭ mappings. Moreover, we present some convergence results for one parameter nonexpansive type semigroups. Some non-trivial examples have been presented to illustrate facts.

Original language	English
Article number	585
Journal	Symmetry
Volume	13
Issue number	4
DOIs	https://doi.org/10.3390/sym13040585
Publication status	Published - Apr 2021
Externally published	Yes

Keywords

Condition (E)
Metric projection
Uniformly convex space

ASJC Scopus subject areas

Computer Science (miscellaneous)
Chemistry (miscellaneous)
General Mathematics
Physics and Astronomy (miscellaneous)

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10.3390/sym13040585

Cite this

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title = "Fixed point theorems for nonexpansive type mappings in Banach spaces",

abstract = "In this paper, we present some fixed point results for a class of nonexpansive type and α-Krasnosel{\textquoteright}skiĭ mappings. Moreover, we present some convergence results for one parameter nonexpansive type semigroups. Some non-trivial examples have been presented to illustrate facts.",

keywords = "Condition (E), Metric projection, Uniformly convex space",

author = "Rajendra Pant and Prashant Patel and Rahul Shukla and {De la Sen}, Manuel",

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AU - Pant, Rajendra

AU - Patel, Prashant

AU - Shukla, Rahul

AU - De la Sen, Manuel

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AB - In this paper, we present some fixed point results for a class of nonexpansive type and α-Krasnosel’skiĭ mappings. Moreover, we present some convergence results for one parameter nonexpansive type semigroups. Some non-trivial examples have been presented to illustrate facts.

KW - Condition (E)

KW - Metric projection

KW - Uniformly convex space

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U2 - 10.3390/sym13040585

DO - 10.3390/sym13040585

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JO - Symmetry

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Fixed point theorems for nonexpansive type mappings in Banach spaces

Abstract

Keywords

ASJC Scopus subject areas

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