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
Reference25 articles.
1. Abbas M, Dorić D: Common fixed point theorem for four mappings satisfying generalized weak contractive condition. Filomat 2010, 24(2):1–10. 10.2298/FIL1002001A
2. Agarwal RP, Hussain N, Taoudi M-A: Fixed point theorems in ordered Banach spaces and applications to nonlinear integral equations. Abstr. Appl. Anal. 2012., 2012: Article ID 245872
3. Akbar F, Khan AR: Common fixed point and approximation results for noncommuting maps on locally convex spaces. Fixed Point Theory Appl. 2009., 2009: Article ID 207503
4. Berinde V, Vetro F: Common fixed points of mappings satisfying implicit contractive conditions. Fixed Point Theory Appl. 2012., 2012: Article ID 105
5. Ćirić LB: A generalization of Banach’s contraction principle. Proc. Am. Math. Soc. 1974, 45: 267–273.
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