Best Proximity Point Results for Mk-Proximal Contractions
Loading...
Date
2012
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Publishing Corporation
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Average
Influence
Average
Popularity
Average
Abstract
Let A and B be nonempty subsets of a metric space with the distance function d, and T : A -> B is a given non-self-mapping. The purpose of this paper is to solve the nonlinear programming problem that consists in minimizing the real-valued function x bar right arrow. d (x, Tx), where T belongs to a new class of contractive mappings. We provide also an iterative algorithm to find a solution of such optimization problems.
Description
Jleli, Mohamed/0000-0002-6095-5875; KARAPINAR, ERDAL/0000-0002-6798-3254; Samet, Bessem/0000-0002-6769-3417
Keywords
[No Keyword Available], QA1-939, Mathematics, iterative algorithm, Numerical methods based on nonlinear programming, Fixed-point and coincidence theorems (topological aspects), metric space, non-self-mapping, nonlinear programming, contractive mapping, Special maps on metric spaces
Fields of Science
0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, 01 natural sciences
Citation
WoS Q
Scopus Q
Q3
OpenCitations Citation Count
6
Source
Abstract and Applied Analysis
Volume
2012
Issue
Start Page
End Page
PlumX Metrics
Citations
CrossRef : 6
Scopus : 13
Captures
Mendeley Readers : 4
Google Scholar™
