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H. Obiedat and Z. Mustafa, Fixed point results on a non symmetric G-metric spaces, Jordan Journal of Maths and Stats, 3(2010), 65-79.

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Article

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

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, Vol. 5 No. 1, 5-12
DOI: 10.12691/tjant-5-1-2
Copyright © 2016 Science and Education Publishing

Cite this paper:
Abdullah Shoaib, Muhammad Arshad, Syed Hussnain Kazmi. Fixed Point Results for Hardy Roger Type Contraction in Ordered Complete Dislocated Gd Metric Space. Turkish Journal of Analysis and Number Theory. 2017; 5(1):5-12. doi: 10.12691/tjant-5-1-2.

Correspondence to: Abdullah  Shoaib, Department of Mathematics and Statistics, Riphah International University, Islamabad, Pakistan. Email: abdullahshoaib15@yahoo.com

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