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

Sumit Chandok, Mohammad Saeed Khan, Tulsi Das Narang

Research output: Contribution to journalArticle

1 Citation (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 languageEnglish
Pages (from-to)89-96
Number of pages8
JournalAzerbaijan Journal of Mathematics
Volume5
Issue number1
Publication statusPublished - 2015

Fingerprint

Generalized Contraction
Contraction Mapping
Metric space
Fixed point theorem
First order differential equation
Partial Order
Nonlinear Differential Equations
Existence Results
Fixed point
Generalise

Keywords

  • Fixed point
  • Generalized contraction mappings
  • Ordered metric spaces

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Fixed point theorem in partially ordered metric spaces for generalized contraction mappings. / Chandok, Sumit; Khan, Mohammad Saeed; Narang, Tulsi Das.

In: Azerbaijan Journal of Mathematics, Vol. 5, No. 1, 2015, p. 89-96.

Research output: Contribution to journalArticle

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