DOI: 10.24193/fpt-ro.2020.1.02

Authors: Md Ahmadullah and Mohammad Imdad

Abstract: In this paper, we introduce the notion of F_ℜ-Suzuki-contraction where ℜ stands for an arbitrary binary relation and utilize the same to establish some existence and uniqueness fixed point results on metric spaces (not necessarily complete) equipped with arbitrary relation. Our results generalize, extend and unify several results of the existing literature. We also provide some examples to demonstrate the generality of our results. As an application of our main results, the existence and uniqueness of solution of a family of nonlinear matrix equations is discussed.

Key Words and Phrases: Complete metric spaces, binary relations, Suzuki-contraction mappings, fixed point.

2010 Mathematics Subject Classification: 47H10, 54H25.

Published on-line: February 1st, 2020.

Abstract pdf          Fulltext pdf

Back to volume's table of contents