Results 11 to 20 of about 4,446,313 (251)
Some Results on the Best Proximity Pair [PDF]
Abstract and Applied Analysis, 2011 We give some new conditions for existence and uniqueness of best proximity point. We also introduce the concept of strongly proximity pair and give some interesting results.
Mohammad Reza Haddadi +1 more
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Approximate Best Proximity Pairs in Metric Space [PDF]
Abstract and Applied Analysis, 2011 Let A and B be nonempty subsets of a metric space X and also T:A∪B→A∪B and T(A)⊆B, T(B)⊆A. We are going to consider element x∈A such that d(x,Tx)≤d(A,B)+ϵ for some ϵ>0. We call pair (A,B) an approximate best proximity pair.
S. A. M. Mohsenalhosseini +2 more
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Best Proximity Pairs Theorems for Continuous Set-Valued Maps [PDF]
Fixed Point Theory and Applications, 2008 A best proximity pair for a set-valued map F:A⊸B with respect to a set-valued map G:A⊸A is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved in nonexpansive retract metric spaces.
R. P. Agarwal +3 more
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t-Best Proximity Pair in Fuzzy Normed Spaces
Journal of Mathematical Extension, 2014 This study has considered the problem of finding best proximity pair in fuzzy metric spaces and uniformly convex fuzzy Banach spaces for fuzzy cyclic contraction map. We prove the uniqueness of this point in uniformly fuzzy Banach spaces. We also give
H. R. Khademzadeh, H. Mazaheri
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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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Condensing Mappings and Best Proximity Point Results
Journal of Mathematics, 2021 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
Sarah O. Alshehri +2 more
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On existence of equilibrium pair for constrained generalized games [PDF]
Fixed Point Theory and Applications, 2004 We obtain sufficient conditions for the existence of an equilibrium pair for a particular constrained generalized game as an application of a best proximity pair theorem.
P. Veeramani, P. S. Srinivasan
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Best proximity point results for p-semi-cyclic contraction pair in Banach spaces [PDF]
Mathematica MoravicaIn the present work, we extend the semi-cyclic contraction conditions established by Gabeleh and Abkar [9] by introducing the concept of a p-semi-cyclic contraction for a pair of mappings (S,T) on the union of p(≥ 2) nonempty subsets in a Banach space ...
Kumar Sharma Ajay +2 more
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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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Proximity Point Results for Generalized p-Cyclic Reich Contractions: An Application to Solving Integral Equations [PDF]
Mathematics, 2023 This article studies new classes of contractions called the p-cyclic Reich contraction and p-cyclic Reich contraction pair and develops certain best proximity point results for such contractions in the setting of partial metric spaces.
Hind Alamri, Nawab Hussain, Ishak Altun
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