Fixed point theorem in partially ordered metric spaces for generalized contraction mappings

Sumit Chandok; Mohammad Saeed Khan; Tulsi Das Narang

Fixed point theorem in partially ordered metric spaces for generalized contraction mappings

Sumit Chandok^*, Mohammad Saeed Khan, Tulsi Das Narang

^*Corresponding author for this work

Mathematics

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

5 Citations (Scopus)

Abstract

In this paper, we prove some fixed point results in the setting of two metric spaces endowed with a partial order satisfying a generalized contractive condition. The proved results generalize and extend some known results in the literature. As application, we establish an existence result for a nonlinear first order differential equation.

Original language	English
Pages (from-to)	89-96
Number of pages	8
Journal	Azerbaijan Journal of Mathematics
Volume	5
Issue number	1
Publication status	Published - 2015

Keywords

Fixed point
Generalized contraction mappings
Ordered metric spaces

ASJC Scopus subject areas

General Mathematics

Cite this

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title = "Fixed point theorem in partially ordered metric spaces for generalized contraction mappings",

abstract = "In this paper, we prove some fixed point results in the setting of two metric spaces endowed with a partial order satisfying a generalized contractive condition. The proved results generalize and extend some known results in the literature. As application, we establish an existence result for a nonlinear first order differential equation.",

keywords = "Fixed point, Generalized contraction mappings, Ordered metric spaces",

author = "Sumit Chandok and Khan, {Mohammad Saeed} and Narang, {Tulsi Das}",

year = "2015",

language = "English",

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pages = "89--96",

journal = "Azerbaijan Journal of Mathematics",

issn = "2218-6816",

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T1 - Fixed point theorem in partially ordered metric spaces for generalized contraction mappings

AU - Chandok, Sumit

AU - Khan, Mohammad Saeed

AU - Narang, Tulsi Das

PY - 2015

Y1 - 2015

N2 - In this paper, we prove some fixed point results in the setting of two metric spaces endowed with a partial order satisfying a generalized contractive condition. The proved results generalize and extend some known results in the literature. As application, we establish an existence result for a nonlinear first order differential equation.

AB - In this paper, we prove some fixed point results in the setting of two metric spaces endowed with a partial order satisfying a generalized contractive condition. The proved results generalize and extend some known results in the literature. As application, we establish an existence result for a nonlinear first order differential equation.

KW - Fixed point

KW - Generalized contraction mappings

KW - Ordered metric spaces

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M3 - Article

AN - SCOPUS:84929395660

SN - 2218-6816

VL - 5

SP - 89

EP - 96

JO - Azerbaijan Journal of Mathematics

JF - Azerbaijan Journal of Mathematics

IS - 1

ER -

Fixed point theorem in partially ordered metric spaces for generalized contraction mappings

Abstract

Keywords

ASJC Scopus subject areas

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