Author:
Salimi Peyman,Latif Abdul,Hussain Nawab
Abstract
Abstract
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.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Geometry and Topology
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