Journal of Analysis & Number Theory
Journal license

Journal

Journal of Analysis & Number Theory


Volume
& Issue

Volume 5, Issue 1


Published
on

January 1, 2017


Pages

27-34


DOI

Article

Fixed Point Theorems for Chatterjea Type F-Contraction on Closed Ball

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Authors

Muhammad Nazam* Affiliation:
Department of Mathematics and Statistics, International Islamic University, Islamabad 44000, Pakistan
, Muhammad Arshad Affiliation:
Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan
and Aftab Hussain Affiliation:
Department of Mathematical Sciences, Lahore Leads University, Lahore -54000, Pakistan; Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan


Abstract

The notions of Chatterjea type $F$-contraction and Chatterjea type ($\alpha - \eta - AF$)-contraction on closed ball are introduced. Two fixed point theorems in the framework of complete partial metric spaces are obtained. Some comparative examples are constructed to illustrate the novelty of these results. Our results provide substantial generalizations and improvements of several well known results existing in the comparable literature.


Keywords

fixed point, F and (α − η − AF) contractions, Closed ball, complete partial metric space


Citation

Nazam, M., Arshad, M., & Hussain, A. (2017). Fixed point theorems for chatterjea type f-contraction on closed ball. Journal of Analysis & Number Theory, 5(1), 27–34. https://doi.org/10.18576/jant/050105

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