Existence of best proximity points satisfying two constraint inequalities
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DOI: 10.1142/s1793557122501042
Abstract: In this paper, we prove the existence of best proximity point and coupled best proximity point on metric spaces with partial order for weak proximal contraction mappings such that these critical points satisfy some constraint… read more here.
Keywords: existence best; constraint inequalities; proximity points; best proximity ... See more keywords
Equivalence between the Existence of Best Proximity Points and Fixed Points for Some Classes of Proximal Contractions
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DOI: 10.3390/axioms11090468
Abstract: In the year 2014, Almeida et al. introduced a new class of mappings, namely, contractions of Geraghty type. Additionally, in the year 2021, Beg et al. introduced the concept of generalized F-proximal contraction of the… read more here.
Keywords: existence best; classes proximal; proximity points; points classes ... See more keywords