Fixed Point Theorems For Weak Contractions in Dualistic Partial Metric Spaces

Authors

  • Arshad Muhammad Department of Mathematics and Statistics, International Islamic University, Islamabad Pakistan
  • Muhammad Nazam Department of mathematics, International Islamic University, Islamabad, Pakistan
Abstract:

In this paper, we describe some topological properties of dualistic partial metric spaces and establish some fixed point theorems for weak contraction mappings of rational type defined on dual partial metric spaces. These results are generalizations of some existing results in the literature. Moreover, we present examples to illustrate our result.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Coupled common fixed point theorems for $varphi$-contractions in probabilistic metric spaces and applications

In this paper, we give some new coupled common  fixed point theorems for probabilistic $varphi$-contractions  in Menger probabilistic metric spaces.  As applications of the main results, we obtain some coupled common fixed point theorems in usual metric spaces and fuzzy metric spaces. The main results of this paper improvethe corresponding results given by some authors. Finally, we give one exa...

full text

Fixed Point Theorems for semi $lambda$-subadmissible Contractions in b-Metric spaces

Here, a new certain class of contractive mappings in the b-metric spaces is introduced. Some fixed point theorems are proved which generalize and modify the recent results in the literature. As an application, some results in the b-metric spaces endowed with a partial ordered are proved.

full text

Some Fixed Point Theorems for Generalized Contractions in Metric Spaces with a Graph

Jachymski [ Proc. Amer. Math. Soc., 136 (2008), 1359-1373] gave modified version of a Banach fixed point theorem on a metric space endowed with a graph. In the present paper, (G, Φ)-graphic contractions have been de ned by using a comparison function and studied the existence of fixed points. Also, Hardy-Rogers G-contraction have been introduced and some fixed point theorems have been proved. S...

full text

Extensions of Some Fixed Point Theorems for Weak-Contraction Mappings in Partially Ordered Modular Metric Spaces

The purpose of this paper is to establish fixed point results for a single mapping in a partially ordered modular metric space, and to prove a common fixed point theorem for two self-maps satisfying some weak contractive inequalities.

full text

Fixed points for weak φ-contractions on partial metric spaces

In this paper, following [W.A. Kirk, P.S. Srinivasan, P. Veeramani, Fixed points for mappings satisfying cyclical contractive conditions, Fixed Point Theory. 4 (2003) 79-89], we give a fixed point result for cyclic weak φ-contractions on partial metric space. A Maia type fixed point theorem for cyclic weak φ-contractions is also given.

full text

Fixed point theorems for cyclic weak contractions in compact metric spaces

The purpose of this paper is to present a fixed point theorem for cyclic weak contractions in compact metric spaces. c ©2013 All rights reserved.

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 9  issue 2

pages  179- 190

publication date 2018-12-21

By following a journal you will be notified via email when a new issue of this journal is published.

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023