Common best proximity points for a pair of mappings with certain dominating property
Demonstratio Mathematica, 2023 This article introduces a type of dominating property, partially inherited from L. Chen’s, and proves an existence and uniqueness theorem concerning common best proximity points.
Charoensawan Phakdi +2 more
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Best proximity point (pair) results via MNC in Busemann convex metric spaces [PDF]
Applied General Topology, 2022 In this paper, we present a new class of cyclic (noncyclic) α-ψ and β-ψ condensing operators and survey the existence of best proximity points (pairs) as well as coupled best proximity points (pairs) in the setting of reflexive Busemann convex spaces ...
Moosa Gabeleh, Pradip Ramesh Patle
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Best Proximity Point Theorems for a Berinde MT-Cyclic Contraction on a Semisharp Proximal Pair [PDF]
International Journal of Mathematics and Mathematical Sciences, 2018 In this paper, a new type of non-self-mapping, called Berinde MT-cyclic contractions, is introduced and studied. Best proximity point theorems for this type of mappings in a metric space are presented. Some examples illustrating our main results are also
Chalongchai Klanarong +1 more
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Birkhoff-Kellogg and Best Proximity Pair Results
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naseer Shahzad, Donal O'Regan
exaly +4 more sources
Best proximity pair theorems for relatively nonexpansive mappings
Applied General Topology, 2009 Let A, B be nonempty closed bounded convex subsets of a uniformly convex Banach space and T : A∪B → A∪B be a map such that T(A) ⊆ B, T(B) ⊆ A and ǁTx − Tyǁ ≤ ǁx − yǁ, for x in A and y in B. The fixed point equation Tx = x does not possess a solution when
V. Sankar Raj, P. Veeramani
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Common best proximity point theorems for certain types of mappings [PDF]
Mathematica BohemicaLet $S$ and $T$ be two single-valued non-self-mappings from a nonempty set $\mathcal{P}$ to another nonempty set $\mathcal{Q}$. As they are non-self-mappings, the equations $Sx=x$ and $Tx=x$ do not have a common solution. In other words, they do not have
Arunachalam Murali, Krishnan Muthunagai
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Best Proximity Pairs for Upper Semicontinuous Set-Valued Maps in Hyperconvex Metric Spaces [PDF]
Fixed Point Theory and Applications, 2009 A best proximity pair for a set-valued map F:A⊸B with respect to a map g:A→A is defined, and new existence theorems of best proximity pairs for upper semicontinuous set-valued maps with respect to a homeomorphism are proved in hyperconvex ...
R. P. Agarwal +3 more
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Corrigendum to the paper “Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings” [PDF]
Demonstratio Mathematica, 2021 The purpose of this short note is to present a correction of the proof of the main result given in the paper “Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings,” Demonstr.
Gabeleh Moosa
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Strong and weak convergence of Ishikawa iterations for best proximity pairs [PDF]
Open Mathematics, 2020 Let A and B be nonempty subsets of a normed linear space X. A mapping T : A ∪ B → A ∪ B is said to be a noncyclic relatively nonexpansive mapping if T(A) ⊆ A, T(B) ⊆ B and ∥Tx − Ty∥ ≤ ∥x − y∥ for all (x, y) ∈ A × B.
Gabeleh Moosa +3 more
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Best Proximity Sets and Equilibrium Pairs for a Finite Family of Multimaps [PDF]
Fixed Point Theory and Applications, 2009 We establish the existence of a best proximity pair for which the best proximity set is nonempty for a finite family of multimaps whose product is either an ð”„ðÂœκ-multimap or a multimap T:A→2B such that both T and S∘T are closed ...
Naseer Shahzad, M. A. Al-Thagafi
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