Modified α-ψ-contractive mappings with applications

The aim of this work is to modify the notions of α -admissible and α - ψ -contractive mappings and establish new fixed point theorems for such mappings in complete metric spaces. Presented theorems provide main results of Karapinar and Samet (Abstr. Appl. Anal. 2012:793486, 2012) and Samet et al. (N...

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Bibliographic Details
Published in:	Fixed point theory and applications (Hindawi Publishing Corporation) Vol. 2013; no. 1
Main Authors:	Salimi, Peyman, Latif, Abdul, Hussain, Nawab
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 10.06.2013
Subjects:	Analysis Applications of Mathematics Boundary Value Problems Differential Geometry Fixed Point Theory and Applications General Inequalities Mathematical and Computational Biology Mathematics Mathematics and Statistics Recent Advances in Operator Equations Topology Positive Real Number Fixed Point Theory Fixed Point Theorem Integral Equation Cauchy Sequence
ISSN:	1687-1812, 1687-1812
Online Access:	Get full text
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Summary:	The aim of this work is to modify the notions of α -admissible and α - ψ -contractive mappings and establish new fixed point theorems for such mappings in complete metric spaces. Presented theorems provide main results of Karapinar and Samet (Abstr. Appl. Anal. 2012:793486, 2012) and Samet et al. (Nonlinear Anal. 75:2154-2165, 2012) as direct corollaries. Moreover, some examples and applications to integral equations are given here to illustrate the usability of the obtained results. MSC: 46N40, 47H10, 54H25, 46T99.
ISSN:	1687-1812 1687-1812
DOI:	10.1186/1687-1812-2013-151