Results 41 to 50 of about 61,174 (142)

Global Optimization for Quasi-Noncyclic Relatively Nonexpansive Mappings with Application to Analytic Complex Functions

open access: yesMathematics, 2019
The purpose of this article is to resolve a global optimization problem for quasi-noncyclic relatively nonexpansive mappings by giving an algorithm that determines an optimal approximate solution of the following minimization problem, min x &isin ...
Poom Kumam, Chirasak Mongkolkeha
doaj   +1 more source

Best Proximity Point Theorems for Cyclic Relatively ρ-Nonexpansive Mappings in Modular Spaces

open access: yesAbstract and Applied Analysis, 2018
In this paper we introduce the notion of proximal ρ-normal structure of pair of ρ-admissible sets in modular spaces. We prove some results of best proximity points in this setting without recourse to Zorn’s lemma.
Karim Chaira, Samih Lazaiz
doaj   +1 more source

Best Proximity Pairs for Upper Semicontinuous Set-Valued Maps in Hyperconvex Metric Spaces

open access: yesFixed Point Theory and Applications, 2008
A best proximity pair for a set-valued map with respect to a map 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 metric spaces.
Farajzadeh AP   +3 more
doaj  

Best proximity point (pair) theorem using ( α − ς ) Meir-Keeler condensing operators in Busemann convex spaces

open access: yesApplied General Topology
Two new class of condensing operators, called  ( α − ς ) and ( β − ς ) Meir-Keelercondensing operators, are introduced and used to investigate the existence of best proximity points (pairs) for cyclic (noncyclic) relatively nonexpansive mappings to more ...
Akash Pradhan   +3 more
doaj   +1 more source

A simulation function approach for optimization by approximate solutions with an application to fractional differential equation

open access: yesNonlinear Analysis
In this work, we study the existence and uniqueness of a common best proximity point for a pair of nonself functions that are not necessarily continuous using the simulation function.
Parvaneh Lo'lo'   +2 more
doaj   +1 more source

Existence Results of best Proximity Pairs for a Certain Class of Noncyclic Mappings in Nonreflexive Banach Spaces Polynomials

open access: yesپژوهش‌های ریاضی, 2018
Introduction Let  be a nonempty subset of a normed linear space . A self-mapping  is said to be nonexpansive provided that  for all . In 1965, Browder showed that every nonexpansive self-mapping defined on a nonempty, bounded, closed and convex subset of
Moosa Gabeleh
doaj  

Optimum solution of ( k , ℷ ) $(k,\gimel )$ -Hilfer FDEs by A $\mathcal{A}$ -condensing operators and the incorporated measure of noncompactness

open access: yesJournal of Inequalities and Applications
The notion of A $\mathcal{A}$ -condensing operators via the measure of noncompactness is proposed, which retains the existing classes of condensing operators.
Gurpreet Kaur Khokhar   +3 more
doaj   +1 more source

Best proximity pairs in ultrametric spaces [PDF]

open access: green, 2021
K. Chaira, O. Dovgoshey, S. Lazaiz
openalex   +1 more source

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