Fixed point theorems for weakly beta-admissible pair of F-contractions with application

• Main Authors: Muhammad Nazam, Nawab Hussain, Aftab Hussain, Muhammad Arshad
• Format: Article
• Language: English
• Published: Vilnius University Press 2019-11-01
• Series: Nonlinear Analysis
• Subjects: common fixed point; (β,F)-weak contraction; β-complete b-metric space
• Online Access: http://www.journals.vu.lt/nonlinear-analysis/article/view/14903
• ISSN: 1392-5113; 2335-8963

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.