Fixed Point Theorems for a Class of Α-Admissible Contractions and Applications To Boundary Value Problem
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Date
2014
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi Publishing Corporation
Open Access Color
GOLD
Green Open Access
Yes
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
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Impulse
Average
Influence
Top 10%
Popularity
Top 10%
Abstract
A class of alpha-admissible contractions defined via altering distance functions is introduced. The existence and uniqueness conditions for fixed points of such maps on complete metric spaces are investigated and related fixed point theorems are presented. The results are reconsidered in the context of partially ordered metric spaces and applied to boundary value problems for differential equations with periodic boundary conditions.
Description
KARAPINAR, ERDAL/0000-0002-6798-3254; ERHAN, INCI M./0000-0001-6042-3695; Alsulami, Hamed Hamdan/0000-0001-5188-2830
Keywords
[No Keyword Available], QA1-939, Mathematics, Fixed-point and coincidence theorems (topological aspects), Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces, Complete metric spaces, Special maps on metric spaces
Turkish CoHE Thesis Center URL
Fields of Science
0101 mathematics, 01 natural sciences
Citation
WoS Q
Scopus Q
Q3
OpenCitations Citation Count
21
Source
Abstract and Applied Analysis
Volume
2014
Issue
Start Page
1
End Page
10
PlumX Metrics
Citations
CrossRef : 3
Scopus : 45
Captures
Mendeley Readers : 4
SCOPUS™ Citations
45
checked on Feb 07, 2026
Web of Science™ Citations
32
checked on Feb 07, 2026
Page Views
3
checked on Feb 07, 2026
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