Results 21 to 30 of about 4,206,969 (256)

Best proximity pairs in uniformly convex spaces [PDF]

open access: yes, 2008
Fil: Bonifacio, Agustín Germán. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Matemática Aplicada de San Luis "Prof. Ezio Marchi". Universidad Nacional de San Luis. Facultad de Ciencias Físico, Matemáticas y Naturales. Instituto de Matemática Aplicada de San Luis "Prof.
Cuenya, Hector Hugo   +1 more
core   +3 more sources

On general best proximity pairs and equilibrium pairs in free abstract economies

open access: yesNonlinear Analysis: Theory, Methods & Applications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sangho Kum, Won Kyu Kim
exaly   +3 more sources

Common best proximity pairs via the concept of complete proximal normal structure

open access: yesAnnals of Functional Analysis, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moosa Gabeleh, Jack Markin
exaly   +3 more sources

Common Best Proximity Points for Cyclic φ-Contraction Maps [PDF]

open access: yesInternational Journal of Analysis and Applications, 2016
The purpose of this paper is to introduce new types of contraction condition for a pair of maps $(S,T)$ in metric spaces. We give convergence and existence results of best proximity points of such maps in the setting of uniformly convex Banach spaces ...
M. Ahmadi Baseri   +2 more
doaj   +3 more sources

Noncyclic Meir-Keeler contractions and best proximity pair theorems

open access: yesDemonstratio Mathematica, 2018
In this article, we consider the class of noncyclic Meir-Keeler contractions and study the existence and convergence of best proximity pairs for such mappings in the setting of complete CAT(0) spaces.
Gabeleh Moosa, Markin Jack
doaj   +3 more sources

Some Results on the Best Proximity Pair [PDF]

open access: yesAbstract 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
openaire   +2 more sources

Bipartite graphs and best proximity pairs

open access: yesUkrainian Mathematical Bulletin, 2022
We say that a bipartite graph $G(A, B)$ with fixed parts $A$, $B$ is proximinal if there is a semimetric space $(X, d)$ such that $A$ and $B$ are disjoint proximinal subsets of $X$ and all edges $\{a, b\}$ satisfy the equality $d(a, b) = \operatorname{dist}(A, B)$. It is proved that a bipartite graph $G$ is not isomorphic to any proximinal graph iff $G$
Chaira, Karim   +2 more
openaire   +3 more sources

Best proximity point (pair) results via MNC in Busemann convex metric spaces

open access: yesApplied 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
doaj   +1 more source

On best proximity pair theorems and fixed‐point theorems [PDF]

open access: yesAbstract 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.
openaire   +4 more sources

On a new variant of F-contractive mappings with application to fractional differential equations

open access: yesNonlinear 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
doaj   +1 more source

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