Employing Locally Finitely T-Transitive Binary Relations to Prove Coincidence Theorems for Nonlinear Contractions. (7th May 2020)

• Record Type: Journal Article
• Authors: Arif, Mohammad; Khan, Idrees A.; Imdad, Mohammad; Alam, Aftab
• Other Names: Ólafsson Gestur Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2020(2020)
• Publication Date: 2020-05-07
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2020/6574695
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In this article, we prove some relation-theoretic results on coincidence and common fixed point for a nonlinear contraction employing a locally finitely T -transitive binary relation, where T stands for a self-mapping on the underlying metric space. Our newly proved results deduce sharpened versions of certain relevant results of the existing literature. Finally, we adopt some examples to substantiate the genuineness of our proved results herein.