
doi: 10.3390/math11091976
In this article, we discuss the relation-theoretic aspects of weakly contractive mappings to prove fixed point results in the setting of metric spaces endowed with a certain binary relation. We also provide an example and an application to validate of our results. The results proved herewith unify, generalize, improve, extend, sharpen, subsume and enrich some well-known fixed point theorems of the existing literature.
weak contractions, matrix equations, (?,ℜ)-completeness, binary relations; (?,ℜ)-completeness; weak contractions; matrix equations, QA1-939, binary relations, Mathematics
weak contractions, matrix equations, (?,ℜ)-completeness, binary relations; (?,ℜ)-completeness; weak contractions; matrix equations, QA1-939, binary relations, Mathematics
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