On Best Proximity Point Results for Some Type of Mappings
Vahid Parvaneh, Mohammad Haddadi, Hassen Aydi
Abstract
In this paper, we give new conditions for existence and uniqueness of a best proximity point for Geraghty- and Caristi-type mappings. The presented results are most valuable generalizations of the Geraghty and Caristi fixed point theorems.
Topics & Concepts
UniquenessType (biology)Point (geometry)MathematicsFixed pointFixed-point theoremDiscrete mathematicsMathematical analysisGeometryGeologyPaleontologyFixed Point Theorems AnalysisOptimization and Variational Analysis