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On Some Coincidence Best Proximity Point Results

Naeem Saleem, Haroon Ahmad, Hassen Aydi, Yaé Ulrich Gaba

2021Journal of Mathematics14 citationsDOIOpen Access PDF

Abstract

In this paper, we discuss some (coincidence) best proximity point results for generalized proximal contractions and <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"> <a:mi>λ</a:mi> <a:mo>−</a:mo> <a:mi>μ</a:mi> </a:math> -proximal Geraghty contractions in controlled metric type spaces. To clarify our study, various examples are given and some conclusions are drawn.

Topics & Concepts

CoincidenceMathematicsCoincidence pointPoint (geometry)Metric spaceMetric (unit)Type (biology)Discrete mathematicsPure mathematicsGeometryMedicinePathologyAlternative medicineOperations managementBiologyEcologyEconomicsFixed Point Theorems AnalysisSpatial and Cultural Studies