Fixed Point Theorems for a Class ofα-Admissible Contractions and Applications to Boundary Value Problem

Authors :: İnci M. Erhan
Selma Gülyaz
Hamed H. Alsulami
Erdal Karapınar
[Alsulami, Hamed H. -- Karapinar, Erdal] King Abdulaziz Univ, Res Grp, Jeddah 21413, Saudi Arabia -- [Gulyaz, Selma] Cumhuriyet Univ, Dept Math, Sivas, Turkey -- [Karapinar, Erdal -- Erhan, Inci M.] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey
KARAPINAR, ERDAL -- 0000-0002-6798-3254
Erhan, Inci M. -- 0000-0001-6042-3695
Source :: Abstr. Appl. Anal., Abstract and Applied Analysis, Vol 2014 (2014)
Publication Year :: 2014
Publisher :: Hindawi Limited, 2014.
Abstract: WOS: 000338938300001<br />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.

Subjects :: Article Subject
lcsh:Mathematics
Applied Mathematics
Mathematical analysis
Fixed-point theorem
Fixed point
lcsh:QA1-939
Fixed-point property
Metric space
Metric map
Periodic boundary conditions
Boundary value problem
Uniqueness
Analysis
Mathematics

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