Abstract
In this paper, we introduce the class of generalized (a, p, p)-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.
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