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Proximally Compatible Mappings and Common Best Proximity Points
(MDPI, 2020-03-01)
The purpose of this paper is to introduce and analyze a new idea of proximally compatible mappings and we extend some results of Jungck via proximally compatible mappings. Furthermore, we obtain common best proximity point ...
Approximating Fixed Points of Relatively Nonexpansive Mappings via Thakur Iteration
(MDPI, 2022)
The study of symmetry is a major tool in the nonlinear analysis. The symmetricity of distance function in a metric space plays important role in proving the existence of a fixed point for a self mapping. In this work, we ...
Existence of Best Proximity Point in O-CompleteMetric Spaces
(MDPI, 2023-08-09)
In this work, we prove the existence of the best proximity point results for ⊥-contraction (orthogonal-contraction) mappings on an O-complete metric space (orthogonal-complete metric space). Subsequently, these existence ...