BEST PROXIMITY POINTS FOR GENERALIZED (α, φ, ψ)-PROXIMAL CONTRACTIONS ON SEMI-METRIC SPACES

Abdelbasset Felhi

DOI Number
10.22190/FUMI1705687F
First page
687
Last page
702

Abstract


In this paper, we introduce the class of generalized (α, φ, ψ)-proximal
contraction non-self-maps in semi-metric spaces. For such maps, we provide
sufficient conditions ensuring the existence and uniqueness of best proximity
points by using the concept of -proximal admissible mapping. As applications, we infer best proximity point and xed point results for mappings in partially ordered semi-metric spaces. The presented results generalize and improve various known results from best proximity and fixed point theory.


Keywords

semi-metric space; best proximity point; fixed point; generalized (α,\phi,\psi$)- proximal maps

Keywords


semi-metric space, best proximity point, fixed point, generalized($\alpha,\phi,\psi$)-proximal maps.

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DOI: https://doi.org/10.22190/FUMI1705687F

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