Fixed point theorems in bimetric space endowed with binary relation and applications

M. S. Khan; M. Berzig; S. Chandok

doi:10.18514/MMN.2015.1263

Fixed point theorems in bimetric space endowed with binary relation and applications

M. S. Khan, M. Berzig, S. Chandok

Mathematics & Statistics

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

13 Citations (Scopus)

Abstract

In this paper, we obtained some fixed point results for continuous mappings satisfying a generalized contractive condition in the setting of two metrics space endowed with a binary relation. Our theorems generalize and extend several known results in the literature. As application, we establish an existence theorem for the solution of a nonlinear first order differential equation.

Original language	English
Pages (from-to)	939-951
Number of pages	13
Journal	Miskolc Mathematical Notes
Volume	16
Issue number	2
DOIs	https://doi.org/10.18514/MMN.2015.1263
Publication status	Published - 2015

Keywords

Fixed point
Generalized contraction mappings
Ordered metric spaces

ASJC Scopus subject areas

Algebra and Number Theory
Analysis
Control and Optimization
Discrete Mathematics and Combinatorics
Numerical Analysis

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10.18514/MMN.2015.1263

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abstract = "In this paper, we obtained some fixed point results for continuous mappings satisfying a generalized contractive condition in the setting of two metrics space endowed with a binary relation. Our theorems generalize and extend several known results in the literature. As application, we establish an existence theorem for the solution of a nonlinear first order differential equation.",

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AU - Berzig, M.

AU - Chandok, S.

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AB - In this paper, we obtained some fixed point results for continuous mappings satisfying a generalized contractive condition in the setting of two metrics space endowed with a binary relation. Our theorems generalize and extend several known results in the literature. As application, we establish an existence theorem for the solution of a nonlinear first order differential equation.

KW - Fixed point

KW - Generalized contraction mappings

KW - Ordered metric spaces

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Fixed point theorems in bimetric space endowed with binary relation and applications

Abstract

Keywords

ASJC Scopus subject areas

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