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 PublishingCite 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.comAbstract
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.
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