Best proximity point theorems for some classes of contractions
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-018-0882-z
Abstract: This article elicits some best proximity point theorems, dealing with a special genre of global minimization problem to produce optimal approximate solutions for nonlinear equations of the form Tx = x, which models many nonlinear phenomena, where… read more here.
Keywords: proximity point; contraction; best proximity; point theorems ... See more keywords
Best proximity point theorems for contractive mappings
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0560-3
Abstract: This article is concerned with some new best proximity point theorems for principal cyclic contractive mappings, proximal cyclic contractive mappings, and proximal contractive mappings. As a consequence, an interesting fixed point theorem, due to Edelstein,… read more here.
Keywords: proximity point; point; contractive mappings; point theorems ... See more keywords
Darbo type best proximity point results via simulation function with application
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DOI: 10.1007/s13370-020-00764-7
Abstract: Primarily this work intends to prove the best proximity point (pair) results using the concept of measure of noncompactness and simulation functions. The obtained results generalize and extend some present state of the art on… read more here.
Keywords: proximity point; darbo type; point; simulation ... See more keywords
Condensing Mappings and Best Proximity Point Results
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DOI: 10.1155/2021/5542994
Abstract: Best proximity pair results are proved for noncyclic relatively u-continuous condensing mappings. In addition, best proximity points of upper semicontinuous mappings are obtained which are also fixed points of noncyclic relatively u-continuous condensing mappings. It… read more here.
Keywords: proximity point; point results; condensing mappings; best proximity ... See more keywords
Tripled best proximity point in complete metric spaces
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DOI: 10.1515/math-2020-0016
Abstract: Abstract In this paper, we introduce a new type of contraction to seek the existence of tripled best proximity point results. Here, using the new contraction and P-property, we generalize and extend results of W.… read more here.
Keywords: proximity point; tripled best; point complete; best proximity ... See more keywords