Results 251 to 260 of about 509,290 (290)

Proximinal Retracts and Best Proximity Pair Theorems

Numerical Functional Analysis and Optimization, 2003
Abstract This note is concerned with proximinality and best proximity pair theorems in hyperconvex metric spaces and in Hilbert spaces. Given two subsets A and B of a metric space and a mapping best proximity pair theorems provide sufficient conditions that ensure the existence of an such that Thus such theorems provide optimal approximate solutions in
W. A. Kirk, Simeon Reich, P. Veeramani
semanticscholar   +4 more sources

On best proximity pair theorems for relatively -continuous mappings

Nonlinear Analysis: Theory, Methods & Applications, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Eldred, A. Anthony, Raj, V. Sankar, Veeramani, P.   +2 more
semanticscholar   +5 more sources

Remarks on the paper “A characterization of weak proximal normal structure and best proximity pairs”

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M. Gabeleh
openaire   +2 more sources

SEMI-NORMAL STRUCTURE AND BEST PROXIMITY PAIR RESULTS IN CONVEX METRIC SPACES

Banach Journal of Mathematical Analysis, 2014
M. Gabeleh
semanticscholar   +3 more sources

Noncyclic mappings and best proximity pair results in Hilbert and uniformly convex Banach spaces

Quaestiones Mathematicae, 2016
M. Gabeleh
semanticscholar   +3 more sources

Best proximity pairs and equilibrium pairs for Kakutani multimaps

Nonlinear Analysis: Theory, Methods & Applications, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Al-Thagafi, M. A., Shahzad, Naseer
openaire   +1 more source

Optimal problems of the best proximity pair by proximal normal structure

2023
Summary: Let \((A_1,A_2,A_3)\) be a triple of nonempty convex subsets of a metric space \(\Omega\). In this paper, we determine optimal problems of the best proximity pair by proximal normal structure between two sets \(A_1\) and \(A_2\) with the help of a third set \(A_3\) and we find some necessary and sufficient conditions for existence this optimal
openaire   +2 more sources

Existence of Best Proximity Pair for Class of Enriched Type Nonexpansive Mappings with Applications

Numerical Functional Analysis and Optimization
In this paper, we obtain some sufficient conditions for the existence of a best proximity pair and introduce a new iterative algorithm, which converges to a best proximity pair for a class of noncyclic relatively enriched nonexpansive mappings in ...
Shagun Sharma, S. Chandok
semanticscholar   +1 more source