A fixed point theory for \(S\)-contractions in generalized Kasahara spaces
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Authors
Alexandru-Darius Filip
- Department of Mathematics, Babeş-Bolyai University of Cluj-Napoca, Kogălniceanu Street, No. 1, 400084 Cluj-Napoca, Romania.
Abstract
The aim of this paper is to present a fixed point theory for \(S\)-contractions in generalized Kasahara spaces
\((X;\rightarrow; d)\), where \(d : X \times X \rightarrow s(\mathbb{R}_+)\) is not necessarily an \(s(\mathbb{R}_+)\)-metric.
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ISRP Style
Alexandru-Darius Filip, A fixed point theory for \(S\)-contractions in generalized Kasahara spaces, Journal of Nonlinear Sciences and Applications, 6 (2013), no. 2, 117--123
AMA Style
Filip Alexandru-Darius, A fixed point theory for \(S\)-contractions in generalized Kasahara spaces. J. Nonlinear Sci. Appl. (2013); 6(2):117--123
Chicago/Turabian Style
Filip, Alexandru-Darius. "A fixed point theory for \(S\)-contractions in generalized Kasahara spaces." Journal of Nonlinear Sciences and Applications, 6, no. 2 (2013): 117--123
Keywords
- Fixed point
- \(S\)-contraction
- generalized Kasahara space
- sequence of successive approximations
- \(s(\mathbb{R}_+)\)-metric
- Neumann matrix
- Ulam-Hyers stability.
MSC
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