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
Sign Up to like & getrecommendations! Published in 2020 at "Afrika Matematika"
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
Best proximity point theorems via measure of noncompactness and application to a system of Caputo fractional differential equations
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DOI: 10.2298/fil2414099h
Abstract: In this article, we establish the best proximity point (pair) theorems for condensing operators defined on some new class of functions using the measure of noncompactness. Our theorems extend the Darbo type fixed point theorem… read more here.
Keywords: caputo fractional; system caputo; point; proximity point ... See more keywords
Krasnoselskii-type best proximity point theorem in Banach algebras
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DOI: 10.2298/fil2430653g
Abstract: The main purpose of this paper is to present some new existence of hybrid best proximity point theorems involving the sum of two non-self operators in Banach spaces as well as the product of two… read more here.
Keywords: banach algebras; proximity point; best proximity; point theorem ... See more keywords
A Novel Approach to Some Proximal Contractions with Examples of Its Application
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DOI: 10.3390/axioms14050382
Abstract: In this article, we will introduce a new generalized proximal θ-contraction for multivalued and single-valued mappings named (−θκ)CP-proximal contraction and (−θκ)BP-proximal contraction. Using these newly constructed proximal contractions, we will establish new results for the… read more here.
Keywords: proximal contractions; point; proximal contraction; proximity point ... See more keywords
Some Results on Multivalued Proximal Contractions with Application to Integral Equation
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DOI: 10.3390/math12223488
Abstract: In this manuscript, for the purpose of investigating the coincidence best proximity point, best proximity point, and fixed point results via alternating distance ϕ, we discuss some multivalued (ϕ−Fτ)CP and (ϕ−Fτ)BP−proximal contractions in the context… read more here.
Keywords: proximal contractions; multivalued proximal; point; proximity point ... See more keywords