Results 11 to 20 of about 385,892 (273)
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.
S. Mohammad Moshtaghioun +1 more
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On best proximity pair theorems and fixed‐point theorems [PDF]
Abstract and Applied Analysis, 2003 The significance of fixed‐point theory stems from the fact that it furnishes a unified approach and constitutes an important tool in solving equations which are not necessarily linear. On the other hand, if the fixed‐point equation Tx = x does not possess a solution, it is contemplated to resolve a problem of finding an element x such that x is in ...
Srinivasan, P. S., Veeramani, P.
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Best proximity pair theorems for relatively nonexpansive mappings
Applied General Topology, 2009 The authors would like to thank the referee for useful comments and suggestions for the improvement of the paper. The first author acknowledges the Council of Scientific and Industrial Research(India) for the financial support provided in the form of a Junior Research Fellowship to carry out this research work.
Sankar Raj, V., Veeramani, P.
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Best Proximity Pairs Theorems for Continuous Set-Valued Maps [PDF]
Fixed Point Theory and Applications, 2008 AbstractA best proximity pair for a set-valued map "Equation missing" with respect to a set-valued map "Equation missing" is defined, and a new existence theorem of best proximity pairs for continuous set-valued maps is proved in nonexpansive retract metric spaces. As an application, we derive a coincidence point theorem.
Amini-Harandi, A +3 more
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Best Proximity Pairs for Upper Semicontinuous Set-Valued Maps in Hyperconvex Metric Spaces [PDF]
Fixed Point Theory and Applications, 2008 AbstractA best proximity pair for a set-valued map "Equation missing" with respect to a map "Equation missing" 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 metric spaces.
Amini-Harandi, A +3 more
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Convergence and Best Proximity Points for Generalized Contraction Pairs [PDF]
Mathematics, 2019 This paper is devoted to studying the existence of best proximity points and convergence for a class of generalized contraction pairs by using the concept of proximally-complete pairs and proximally-complete semi-sharp proximinal pairs. The obtained results are generalizations of the result of Sadiq Basha (Basha, S., Best proximity points: global ...
Slah Sahmim +2 more
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Strong and weak convergence of Ishikawa iterations for best proximity pairs [PDF]
Open Mathematics, 2020 Abstract 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. A best proximity pair for such a mapping T is a point (p, q) ∈ A × B such that p = Tp, q = Tq and d(p, q) = dist(A,
Moosa Gabeleh +3 more
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Equivalence of the existence of best proximity points and best proximity pairs for cyclic and noncyclic nonexpansive mappings [PDF]
Demonstratio Mathematica, 2020 AbstractIn this study, at first we prove that the existence of best proximity points for cyclic nonexpansive mappings is equivalent to the existence of best proximity pairs for noncyclic nonexpansive mappings in the setting of strictly convex Banach spaces by using the projection operator.
Hans-Peter A. Künzi, Moosa Gabeleh
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Best Proximity Sets and Equilibrium Pairs for a Finite Family of Multimaps [PDF]
Fixed Point Theory and Applications, 2008 AbstractWe 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 "Equation missing"-multimap or a multimap "Equation missing" such that both "Equation missing" and "Equation missing" are closed and have the KKM property for each Kakutani multimap ...
Naseer Shahzad, M.A. Al-Thagafi
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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 given. Our results generalize and improve some known results in the literature.
Chalongchai Klanarong +1 more
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