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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Vydáno v:Fixed point theory and applications (Hindawi Publishing Corporation) Ročník 2013; číslo 1
Hlavní autoři: Salimi, Peyman, Latif, Abdul, Hussain, Nawab
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 10.06.2013
Témata:
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
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Shrnutí: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