Article citationsMore >>

N. Hussain, M. Arshad, A. Shoaib and Fahimuddin, Common fixed point results for α-ψ-contractions on a metric space endowed with graph, J. Inequal. Appl., 2014, 2014:136.

has been cited by the following article:

Article

Fixed Points Results for Graphic Contraction on Closed Ball

1Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan

2Department of Mathematical Sciences, Lahore Leads University, Lahore - 54000, Pakistan


Turkish Journal of Analysis and Number Theory. 2016, Vol. 4 No. 4, 92-97
DOI: 10.12691/tjant-4-4-2
Copyright © 2016 Science and Education Publishing

Cite this paper:
Aftab Hussain. Fixed Points Results for Graphic Contraction on Closed Ball. Turkish Journal of Analysis and Number Theory. 2016; 4(4):92-97. doi: 10.12691/tjant-4-4-2.

Correspondence to: Aftab  Hussain, Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan. Email: aftabshh@gmail.com

Abstract

In this paper, we introduce a new class of ciric fixed point theorem of (α,ψ)-contractive mappings on a closed ball in complete metric space. As an application, we have derived some new fixed point theorems for ciric ψ-graphic contractions defined on a metric space endowed with a graph in metric space. Our results provide extension as well as substantial generalizations and improvements of several well known results in the existing comparable literature.

Keywords