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

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

Research output: Contribution to journalArticle

4 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 939-951 13 Miskolc Mathematical Notes 16 2 https://doi.org/10.18514/MMN.2015.1263 Published - 2015

### Fingerprint

Binary relation
Fixed point theorem
Differential equations
First order differential equation
Existence Theorem
Nonlinear Differential Equations
Metric space
Fixed point
Generalise
Theorem

### 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

### Cite this

Fixed point theorems in bimetric space endowed with binary relation and applications. / Khan, M. S.; Berzig, M.; Chandok, S.

In: Miskolc Mathematical Notes, Vol. 16, No. 2, 2015, p. 939-951.

Research output: Contribution to journalArticle

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