Geodesic
A fixed point theory for $S$-contractions in generalized Kasahara spaces
Filip, Alexandru-Darius1
1 Department of Mathematics, Babeş-Bolyai University of Cluj-Napoca, Kogălniceanu Street, No. 1, 400084 Cluj-Napoca, Romania
Journal of nonlinear sciences and its applications, Tome 6 (2013) no. 2, p. 117-123.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.006.02.07
Classification : 47H10, 54H25
Keywords: Fixed point, \(S\)-contraction, generalized Kasahara space, sequence of successive approximations, \(s(\mathbb{R}_+)\)-metric, Neumann matrix, Ulam-Hyers stability.

Filip, Alexandru-Darius 1

1 Department of Mathematics, Babeş-Bolyai University of Cluj-Napoca, Kogălniceanu Street, No. 1, 400084 Cluj-Napoca, Romania 
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Filip, Alexandru-Darius. A fixed point theory for \(S\)-contractions in generalized Kasahara spaces. Journal of nonlinear sciences and its applications, Tome 6 (2013) no. 2, p. 117-123. doi : 10.22436/jnsa.006.02.07. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.006.02.07/

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