Contraction mapping principle in partially ordered quasi metric space concerning to w-distances

Volume 10, Issue 2, pp 699--712 http://dx.doi.org/10.22436/jnsa.010.02.31

Publication Date: February 20, 2017 Submission Date: October 24, 2016

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Authors

Rahma Zuhra - School of Mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, UKM, 43600 Bangi, Malaysia. - Department of Mathematics, Faculty of Mathematics and Natural Sciences, Syiah Kuala University, 23111 Banda Aceh, Indonesia. Mohd Salmi Md Noorani - School of Mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, UKM, 43600 Bangi, Malaysia. Fawzia Shaddad - Department of Mathematics, Sana’a University, Yemen.

Abstract

The fixed point theorems in various contraction mappings have been provided by many researchers. Some of them used certain functions in mapping to guarantee the existence of fixed point. The purpose of this paper is to present some fixed point result on contraction mapping in partially ordered quasi-metric space that applying a w-distance. The generalized altering distance function on the mapping plays a role in theorems. The results extend some well-known results in the references. We also improve these new results to the common fixed point.

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Keywords

• Fixed point
• w-distance
• a generalized altering distance function
• common fixed point.

MSC

•  47H10
•  54H25

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