Abstract
In this paper, we discuss some (coincidence) best proximity point results for generalized proximal contractions and λ − μ -proximal Geraghty contractions in controlled metric type spaces. To clarify our study, various examples are given and some conclusions are drawn.
Highlights
Introduction and PreliminariesTo solve the equation T p p (T is a mapping defined on a subset of a metric space, a simplified linear space, or a topological vector space), fixed point theory is an important tool
We will discuss some best proximity point theorems using the multivalued concept on a controlled metric space (X, Ψ)
We ensured the existence of some best proximity point results via the multivalued concept in controlled metric spaces
Summary
Received 25 September 2021; Accepted 23 November 2021; Published 22 December 2021. We discuss some (coincidence) best proximity point results for generalized proximal contractions and λ − μ-proximal Geraghty contractions in controlled metric type spaces. Various examples are given and some conclusions are drawn
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