Affiliation:
1. Department of Mathematics, Aligarh Muslim University, AMU, Aligarh, UP, India
Abstract
In this article, we generalize some frequently used metrical notions such as:
completeness, closedness, continuity, 1-continuity and compatibility to
relation-theoretic setting and utilize these relatively weaker notions to
prove our results on the existence and uniqueness of coincidence points
involving a pair of mappings defined on a metric space endowed with an
arbitrary binary relation. Particularly, under universal relation our results
deduce the classical coincidence point theorems of Goebel, Jungck and others.
Furthermore, our results generalize, modify, unify and extend several
well-known results of the existing literature.
Publisher
National Library of Serbia
Cited by
68 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献