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

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

16 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

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

Access to Document

10.18514/MMN.2015.1263

Cite this

@article{9e15d29c59894c93b3433621dc4c67ea,

title = "Fixed point theorems in bimetric space endowed with binary relation and applications",

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.",

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

author = "Khan, {M. S.} and M. Berzig and S. Chandok",

note = "Publisher Copyright: {\textcopyright} 2015 Miskolc University Press.",

year = "2015",

doi = "10.18514/MMN.2015.1263",

language = "English",

volume = "16",

pages = "939--951",

journal = "Miskolc Mathematical Notes",

issn = "1787-2405",

publisher = "Miskolc University Press",

number = "2",

}

TY - JOUR

T1 - Fixed point theorems in bimetric space endowed with binary relation and applications

AU - Khan, M. S.

AU - Berzig, M.

AU - Chandok, S.

PY - 2015

Y1 - 2015

N2 - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=84958153890&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84958153890&partnerID=8YFLogxK

U2 - 10.18514/MMN.2015.1263

DO - 10.18514/MMN.2015.1263

M3 - Article

AN - SCOPUS:84958153890

SN - 1787-2405

VL - 16

SP - 939

EP - 951

JO - Miskolc Mathematical Notes

JF - Miskolc Mathematical Notes

IS - 2

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this