Fixed point theorems for weakly beta-admissible pair of F-contractions with application
Articles
Muhammad Nazam
Allama Iqbal Open University
Nawab Hussain
King Abdulaziz University
Aftab Hussain
Khawaja Fareed University
Muhammad Arshad
International Islamic University
Published 2019-11-07
https://doi.org/10.15388/NA.2019.6.4
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Keywords

common fixed point
(β,F)-weak contraction
β-complete b-metric space

How to Cite

Nazam M., Hussain N., Hussain A. and Arshad M. (2019) “Fixed point theorems for weakly beta-admissible pair of F-contractions with application”, Nonlinear Analysis: Modelling and Control, 24(6), pp. 898–918. doi: 10.15388/NA.2019.6.4.

Abstract

In this paper, we introduce a new set Fsb of nonlinear functions. We obtain unique common fixed point theorems for (β; F)-weak contractions under the effect of functions from Fsb. Moreover, we deduce new common fixed point results in ordered and graphic b-metric spaces. Our work generalizes several recent results existing in the literature. We set up an example to elucidate main result. We apply the main theorem to show the existence of common solution of the system of elliptic boundary value problems.

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