Results 41 to 50 of about 361,851 (280)
Demonstratio Mathematica, 2023 In this article, a class of cyclic (noncyclic) operators are defined on Banach spaces via concept of measure of noncompactness using some abstract functions. The best proximity point (pair) results are manifested for the said operators. The obtained main
P. Patle, M. Gabeleh, M. de La Sen
semanticscholar +1 more source
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
doaj +2 more sources
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
doaj +1 more source
ON BEST PROXIMITY POINT APPROACH TO SOLVABILITY OF A SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS
Journal of Applied Analysis & Computation, 2023 In this article, a class of cyclic (noncyclic) condensing operators is defined on a Banach space using the notion of measure of noncompactness and C -class functions.
P. Patle, M. Gabeleh, M. De la Sen
semanticscholar +1 more source
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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Filomat, 2023 In this paper, we propose a best proximity point theorem for a novel class of non-self-mappings by using the definition of a pair (F , h) of upper class of type II and the concept of C-class functions.
M.I. Ayari, H. Aydi, H. Hammouda
semanticscholar +1 more source
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
doaj +1 more source
Best proximity points in ultrametric spaces [PDF]
arXiv, 2021 In the present paper, we study the existence of best proximity pair in ultrametric spaces. We show, under suitable assumptions, that the proximinal pair $(A,B)$ has a best proximity pair. As a consequence we generalize a well known best approximation result and we derive some fixed point theorems.
arxiv
Advanced Materials Interfaces, EarlyView., 2023 This review discusses the use of Surface‐Enhanced Raman Spectroscopy (SERS) combined with Artificial Intelligence (AI) for detecting antimicrobial resistance (AMR). Various SERS studies used with AI techniques, including machine learning and deep learning, are analyzed for their advantages and limitations.
Zakarya Al‐Shaebi +4 more
wiley +1 more source
On the UC and UC* properties and the existence of best proximity points in metric spaces [PDF]
arXiv, 2023 We investigate the connections between UC and UC* properties for ordered pairs of subsets (A,B) in metric spaces, which are involved in the study of existence and uniqueness of best proximity points. We show that the $UC^{*}$ property is included into the UC property.
arxiv