Results 271 to 280 of about 488,813 (304)

On best proximity pair theorems for relatively u -continuous mappings

Nonlinear Analysis: Theory, Methods & Applications, 2011
Abstract A new class of mappings, called relatively u -continuous, is introduced and used to investigate the existence of best proximity points. As an application of the existence theorem, we obtain a generalized version of the Markov–Kakutani theorem for best proximity points in the setting of a strictly convex Banach space.
A. Eldred, V. Raj, P. Veeramani
semanticscholar   +3 more sources

Existence of Best Proximity Pairs and a Generalization of Carathéodory Theorem

Numerical Functional Analysis and Optimization, 2020
A new class of mappings, called relatively continuous, is introduced and incorporated to elicit best proximity pair theorems for a non-self-mapping in the setting of reflexive Banach space.
G. Sankara Raju Kosuru, Abhik Digar
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

Fuzzy equilibrium via best proximity pairs in abstract economies

Soft Computing, 2021
A fuzzy free abstract economy is a generalization of an abstract economy. In this paper, we provide a new theorem concerning the existence of a fuzzy equilibrium pair in a fuzzy free abstract economy by exploiting the general framework of best proximity pairs. An example is also given to illustrate our main results.
Premyuda Dechboon, Poom Kumam, Parin Chaipunya, Sompong Dhompongsa   +3 more
openaire   +1 more source

On simple normal structure and best proximity points in reflexive Banach space

Carpathian Journal of Mathematics
We introduce the concept of simple normal structure (see Definition ??) for a pair of subsets in a normed space that is not proximal. Using this concept, we show that if E is a reflexive Banach space, A and B are two nonempty, convex, bounded and ...
B. Seddoug, Karim Chaira, Janusz Matkowski   +2 more
semanticscholar   +1 more source

Best proximity pair theorems

2001
Let \(X\) and \(Y\) be any two topological spaces. A multifunction \(T:X\to 2^Y\) is said to be (i) upper semi-continuous if \(T^{-1}(B)= \{x\in X:(Tx)\cap B\neq\emptyset\}\) is closed in \(X\) whenever \(B\) is a closed subset of \(Y\); (ii) Kakutani multifunction if (a) \(T\) is upper semi-continuous, (b) either \(Tx\) is a singleton for each \(x\in ...
BASHA, SS, VEERAMANI, P, PAI, DV
openaire   +1 more source

Sadovskii Type Best Proximity Point (Pair) Theorems with an Application to Fractional Differential Equations

Mediterranean Journal of Mathematics, 2022
P. Patle, M. Gabeleh, V. Rakočević
semanticscholar   +2 more sources

New best proximity point (pair) theorems via MNC and application to the existence of optimum solutions for a system of $$\psi $$-Hilfer fractional differential equations

RACSAM, 2023
P. Patle, M. Gabeleh, V. Rakočević, M. Samei   +3 more
semanticscholar   +1 more source

THE BEST PROXIMITY PAIR FOCUSING ON MONOTONICITY AND T-ABSOLUTELY DIRECT SETS

, 2020
A. Sarvari, H. Mazaheri, H. R. Khademzadeh   +2 more
semanticscholar   +1 more source

Common best proximity pairs in strictly convex Banach spaces

Georgian Mathematical Journal, 2016
Abstract A mapping T : A ∪ B
openaire   +2 more sources