Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline
remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (2)

Search Parameters:
Keywords = quasi-noncyclic relatively nonexpansive

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
10 pages, 247 KB  
Article
Best Approximation Results in Various Frameworks
by Taoufik Sabar, Abdelhafid Bassou and Mohamed Aamri
Axioms 2019, 8(2), 67; https://doi.org/10.3390/axioms8020067 - 27 May 2019
Cited by 1 | Viewed by 2898
Abstract
We first provide a best proximity point result for quasi-noncyclic relatively nonexpansive mappings in the setting of dualistic partial metric spaces. Then, those spaces will be endowed with convexity and a result for a cyclic mapping will be obtained. Afterwards, we prove a [...] Read more.
We first provide a best proximity point result for quasi-noncyclic relatively nonexpansive mappings in the setting of dualistic partial metric spaces. Then, those spaces will be endowed with convexity and a result for a cyclic mapping will be obtained. Afterwards, we prove a best proximity point result for tricyclic mappings in the framework of the newly introduced extended partial S b -metric spaces. In this way, we obtain extensions of some results in the literature. Full article
(This article belongs to the Special Issue Fixed Point Theory and Related Topics)
8 pages, 255 KB  
Article
Global Optimization for Quasi-Noncyclic Relatively Nonexpansive Mappings with Application to Analytic Complex Functions
by Poom Kumam and Chirasak Mongkolkeha
Mathematics 2019, 7(1), 46; https://doi.org/10.3390/math7010046 - 4 Jan 2019
Cited by 2 | Viewed by 3151
Abstract
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, [...] Read more.
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 A d ( x , T x ) , min y B d ( y , T y ) and min ( x , y ) A × B d ( x , y ) ; also, we provide some illustrative examples to support our results. As an application, the existence of a solution of the analytic complex function is discussed. Full article
Back to TopTop