Generalized contraction principle under relatively weaker contraction in partial metric spaces

Generalized contraction principle under relatively weaker contraction in partial metric spaces

Abstract In this paper, we introduce the concept of a generalized weak (ϕ,R) $(\phi,\mathcal{R})$-contraction and employ this to prove some fixed point results for self-mappings in partial metric spaces endowed with a binary relation R $\mathcal{R}$. We also establish some consequences in ordered pa...

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Bibliographic Details
Main Authors: Atiya Perveen, Izhar Uddin, Mohammad Imdad
Format: Article
Language:English
Published: SpringerOpen 2019-03-01
Series:Advances in Difference Equations
Subjects:
Partial metric space
Binary relation
Preserving mappings
R ≠ $\mathcal{R}^{\neq}$ -precompleteness
R ≠ $\mathcal{R}^{\neq}$ -continuous
Partial order
Online Access:http://link.springer.com/article/10.1186/s13662-019-2027-2

Internet

http://link.springer.com/article/10.1186/s13662-019-2027-2

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