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Fixed Point Results for Hardy Roger Type Contraction in Ordered Complete Dislocated Gd Metric Space

Abdullah Shoaib1,, Muhammad Arshad2, Syed Hussnain Kazmi2

1Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan

2Department of Mathematics, International Islamic University, H-10, Islamabad, Pakistan

Turkish Journal of Analysis and Number Theory. 2017, 5(1), 5-12. DOI: 10.12691/tjant-5-1-2
Published online: August 25, 2017

Abstract

In this paper we discuss the fixed points of mappings satisfying a contractive condition on a closed ball in an ordered complete dislocated quasi Gd-metric space. The notion of dominated mappings is applied to approximate the unique solution of non linear functional equations. An example is given to show the validity of our work. Our results improve/generalize several well known recent and classical results.

Keywords:

fixed point, contractive dominated mappings, closed ball, crdered complete dislocated quasi Gd-metric spaces
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