Fixed point theorems and convergence theorems for some monotone generalized nonexpansive mappings

M. R. Alfuraidan; M. A. Khamsi

doi:10.37193/cjm.2020.02.03

Fixed point theorems and convergence theorems for some monotone generalized nonexpansive mappings

M. R. Alfuraidan
, M. A. Khamsi^*

^*Corresponding author for this work

Department of Mathematics

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

3 Scopus citations

Abstract

We present some new coincidence fixed point theorems for generalized multi-valued weak Γ-contraction mappings. Our outcomes extend several recent results in the framework of complete metric spaces endowed with a graph. Two illustrative examples are included and some consequences are derived.

Original language	English
Pages (from-to)	199-204
Number of pages	6
Journal	Carpathian Journal of Mathematics
Volume	36
Issue number	2
DOIs	https://doi.org/10.37193/cjm.2020.02.03
State	Published - 2020

Bibliographical note

Publisher Copyright:
© 2020, SINUS Association. All rights reserved.

Keywords

(C)-nonexpansive mapping
Fixed point
Krasnoselskij iteration process
Monotone mapping
Opial condition

ASJC Scopus subject areas

General Mathematics

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10.37193/cjm.2020.02.03

Cite this

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title = "Fixed point theorems and convergence theorems for some monotone generalized nonexpansive mappings",

abstract = "We present some new coincidence fixed point theorems for generalized multi-valued weak Γ-contraction mappings. Our outcomes extend several recent results in the framework of complete metric spaces endowed with a graph. Two illustrative examples are included and some consequences are derived.",

keywords = "(C)-nonexpansive mapping, Fixed point, Krasnoselskij iteration process, Monotone mapping, Opial condition",

author = "Alfuraidan, \{M. R.\} and Khamsi, \{M. A.\}",

year = "2020",

doi = "10.37193/cjm.2020.02.03",

language = "English",

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pages = "199--204",

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AU - Alfuraidan, M. R.

AU - Khamsi, M. A.

PY - 2020

Y1 - 2020

N2 - We present some new coincidence fixed point theorems for generalized multi-valued weak Γ-contraction mappings. Our outcomes extend several recent results in the framework of complete metric spaces endowed with a graph. Two illustrative examples are included and some consequences are derived.

AB - We present some new coincidence fixed point theorems for generalized multi-valued weak Γ-contraction mappings. Our outcomes extend several recent results in the framework of complete metric spaces endowed with a graph. Two illustrative examples are included and some consequences are derived.

KW - (C)-nonexpansive mapping

KW - Fixed point

KW - Krasnoselskij iteration process

KW - Monotone mapping

KW - Opial condition

UR - https://www.scopus.com/pages/publications/85087348533

U2 - 10.37193/cjm.2020.02.03

DO - 10.37193/cjm.2020.02.03

M3 - Article

AN - SCOPUS:85087348533

SN - 1584-2851

VL - 36

SP - 199

EP - 204

JO - Carpathian Journal of Mathematics

JF - Carpathian Journal of Mathematics

IS - 2

ER -

Fixed point theorems and convergence theorems for some monotone generalized nonexpansive mappings

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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