Best proximity points for proximal contractions

2012/07/18 by Aurora Fernández-León, Fernández-León, Aurora
Mathematics · Physics and Astronomy · #41A65 #47H10 #54E35 #54E40 #54H25 #Advanced Differential Geometry Research #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.1207.4349

openalex publication_date 2012/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we improve and extend some best proximity point results concerning the so-called proximal contractions. Specifically, compactness assumptions under the sets A and B are removed to consider completeness conditions instead.

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