Results 31 to 40 of about 63,623 (238)
Existence of best proximity pairs and equilibrium pairs
Journal of Mathematical Analysis and Applications, 2006 Using Lassonde's fixed point theorem for Kakutani factorizable multifunctions, the authors prove new existence theorems of best proximity pairs and equilibrium pairs for free abstract economies, which include previous fixed point theorems and equilibrium existence theorems.
Kim, Won Kyu, Lee, Kyoung Hee
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On existence of equilibrium pair for constrained generalized games
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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Proximity Point Properties for Admitting Center Maps [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this work we investigate a class of admitting center maps on a metric space. We state and prove some fixed point and best proximity point theorems for them. We obtain some results and relevant examples.
Mohammad Hosein Labbaf Ghasemi +2 more
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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 a new variant of F-contractive mappings with application to fractional differential equations
Nonlinear Analysis, 2022 The present article intends to prove the existence of best proximity points (pairs) using the notion of measure of noncompactness. We introduce generalized classes of cyclic (noncyclic) F-contractive operators, and then derive best proximity point (pair)
Pradip Ramesh Patlea, Moosa Gabeleh
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Cyclic pairs and common best proximity points in uniformly convex Banach spaces
Open Mathematics, 2017 In this article, we survey the existence, uniqueness and convergence of a common best proximity point for a cyclic pair of mappings, which is equivalent to study of a solution for a nonlinear programming problem in the setting of uniformly convex Banach ...
Gabeleh Moosa +3 more
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Uniqueness of best proximity pairs and rigidity of semimetric spaces
Journal of Fixed Point Theory and Applications, 2022 32 pages, 10 ...
Oleksiy Dovgoshey, Ruslan Shanin
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Best Proximity Pairs for Upper Semicontinuous Set-Valued Maps in Hyperconvex Metric Spaces
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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FEBS Letters, EarlyView.Plasma membranes contain dynamic nanoscale domains that organize lipids and receptors. Because viruses operate at similar scales, this architecture shapes early infection steps, including attachment, receptor engagement, and entry. Using influenza A virus and HIV‐1 as examples, we highlight how receptor nanoclusters, multivalent glycan interactions ...
Jan Schlegel, Christian Sieben
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Modelling stem cell differentiation related processes—A practical overview for biologists
FEBS Letters, EarlyView.Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
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