Preprint Article Version 1 NOT YET PEER-REVIEWED

Generalized Contrcations on Dualistic Partial Metric Spaces

  1. Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
  2. Department of Mathematical Sciences, Lahore Leads University, Lahore 54000, Pakistan
Version 1 : Received: 8 August 2016 / Approved: 9 August 2016 / Online: 9 August 2016 (11:28:16 CEST)

How to cite: Nazam, M.; Arshad, M.; Hussain, A. Generalized Contrcations on Dualistic Partial Metric Spaces. Preprints 2016, 2016080095 (doi: 10.20944/preprints201608.0095.v1). Nazam, M.; Arshad, M.; Hussain, A. Generalized Contrcations on Dualistic Partial Metric Spaces. Preprints 2016, 2016080095 (doi: 10.20944/preprints201608.0095.v1).

Abstract

We introduce the notion of generalized contraction on dualistic partial metric spaces. A fixed point theorem for mappings satisfying above mentioned contraction is obtained. Some consequences of our result are obtained. We construct an example to demonstrate the effectiveness of our result among the corresponding results in partial metric spaces. Our results provide substantial generalizations and improvements of several well known results existing in the comparable literature. We discuss an application of our fixed point results to show the existence of solution of functional equations.

Subject Areas

fixed point; dualistic partial metric; generalized contraction

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