Fixed Point Theorem for F-contraction Mappings, in Partial Metric Spaces

Luambano, Sholastica; Kumar, Santosh; Kakiko, Grayson

Fixed Point Theorem for F-contraction Mappings, in Partial Metric Spaces

Files

Paper-39.pdf (472.47 KB)

Date

2019-03-01

Authors

Luambano, Sholastica

Kumar, Santosh

Kakiko, Grayson

Publisher

Pleiades Publishing, Ltd.

Abstract

The purpose of this paper is to establish a fixed point theorem for F-contraction mappings in partial metric spaces. Also, as a consequence, a fixed point theorem for a pair of F-contraction mappings having a unique common fixed point is obtained. In particular, the main results in this paper generalize and extend a fixed point theorem due to Wardowski 2012 in which F-contraction was introduced as a generalization of Banach Contraction Principle. An illustrative example is provided to validate the results.

Keywords

partial metric spaces, F-contraction mappings, fixed point theorem

URI

http://hdl.handle.net/20.500.11810/5166

Collections

Department of Mathematics

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