FIXED POINT RESULT USING TWO DOMINATED MAPPING ON A CLOSED BALL

Abstract

In the present work, we obtain the result of fixed-point theorem through quasi-contraction mapping and improve the work of A. Shoaib et.al (2015) in a left and right K-sequentially 0-complete ordered quasi-partial spaces respectively, where locally contractive condition satisfied on a closed set. We can use this result to solve the complication of computer algorithms and study it. In this paper, some fixed-point results of self-mapping which is defined on quasi partial metric spaces are given by using dominated mapping (A. Shoaib et.al, 2015) in a left and right K-sequentially 0-complete ordered quasi-partial spaces respectively. Where locally contractive condition satisfied on a closed set. And by taking advantage of these results, the necessary conditions for self-mappings on quasi partial metric spaces in quasi contraction are investigated and prove existence and uniqueness theorem of fixed point for contraction mapping. We can use this result to solve the complication of computer algorithms and study it.