Existence and uniqueness of common coupled fixed point results via auxiliary functions

Sumit Chandok; Erdal Karapinar; Mohammad Saeed Khan

Existence and uniqueness of common coupled fixed point results via auxiliary functions

Sumit Chandok, Erdal Karapinar^*, Mohammad Saeed Khan

^*Corresponding author for this work

Mathematics

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

4 Citations (Scopus)

Abstract

The purpose of this paper is to establish some coupled coincidence point theorems for mappings having a mixed g-monotone property in partially ordered metric spaces. Also, we present a result on the existence and uniqueness of coupled common fixed points. The results presented in the paper generalize and extend several well-known results in the literature.

Original language	English
Article number	12
Pages (from-to)	199-215
Number of pages	17
Journal	Bulletin of the Iranian Mathematical Society
Volume	40
Issue number	1
Publication status	Published - Feb 2014

Keywords

Coupled coincidence point
Coupled fixed point
Mixed monotone property
Ordered sets

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "Existence and uniqueness of common coupled fixed point results via auxiliary functions",

abstract = "The purpose of this paper is to establish some coupled coincidence point theorems for mappings having a mixed g-monotone property in partially ordered metric spaces. Also, we present a result on the existence and uniqueness of coupled common fixed points. The results presented in the paper generalize and extend several well-known results in the literature.",

keywords = "Coupled coincidence point, Coupled fixed point, Mixed monotone property, Ordered sets",

author = "Sumit Chandok and Erdal Karapinar and {Saeed Khan}, Mohammad",

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AU - Chandok, Sumit

AU - Karapinar, Erdal

AU - Saeed Khan, Mohammad

PY - 2014/2

Y1 - 2014/2

N2 - The purpose of this paper is to establish some coupled coincidence point theorems for mappings having a mixed g-monotone property in partially ordered metric spaces. Also, we present a result on the existence and uniqueness of coupled common fixed points. The results presented in the paper generalize and extend several well-known results in the literature.

AB - The purpose of this paper is to establish some coupled coincidence point theorems for mappings having a mixed g-monotone property in partially ordered metric spaces. Also, we present a result on the existence and uniqueness of coupled common fixed points. The results presented in the paper generalize and extend several well-known results in the literature.

KW - Coupled coincidence point

KW - Coupled fixed point

KW - Mixed monotone property

KW - Ordered sets

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M3 - Article

AN - SCOPUS:84894597781

SN - 1018-6301

VL - 40

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JO - Bulletin of the Iranian Mathematical Society

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ER -

Existence and uniqueness of common coupled fixed point results via auxiliary functions

Abstract

Keywords

ASJC Scopus subject areas

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