Some fixed point theorems for G-nonexpansive mappings on ultrametric spaces and non-Archimedean normed spaces with a graph

• Autorzy: Mamghaderi H. , Masiha H. P.

Identyfikatory

DOI

10.7862/rf.2016.6

• Języki publikacji: EN

Abstrakty

EN

A very interesting approach in the theory of fixed point is some general structures was recently given by Jachymski by using the context of metric spaces endowed with a graph. The purpose of this article is to present some new fixed point results for G-nonexpansive mappings defined on an ultrametric space and non-Archimedean normed space which are endowed with a graph. In particular, we investigate the relationship between weak connectivity graph and the existence of fixed point for these mappings.

Słowa kluczowe

EN

fixed point; ultrametric space; non-Archimedean space; nonexpansive mapping; connected graph

PL

punkt stały; przestrzeń metryczna; odwzorowanie nieekspansywne; graf spójny

• Wydawca: Oficyna Wydawnicza Politechniki Rzeszowskiej
• Czasopismo: Journal of Mathematics and Applications
• Rocznik: 2016
• Tom: Vol. 39
• Strony: 81--90
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Mamghaderi H.

• Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran

autor

Masiha H. P.

• Faculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran

Bibliografia

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• [12] C. Petalas, T. Vidalis, A fixed point theorem in Non-Archimedean vector spacs, Amer. Math. Soc. 118 (3) (1993) 819-821.
• [13] C. Perez-Garcia, W.H. Schikhof, Locally Convex Spaces Over Non-Archimedean Valued Fields. Cambridge University Press, 2010.
• [14] A. Petrusel, I.A. Rus, Fixed point theorems in ordered L-spaces, Proc. Amer. Math. Soc. 134 no. 2 (2006) 411-418 (electronic).
• [15] S. Priess-Crampe, P. Ribenboim, Fixed point and attractor theorems for ultrametric spaces, Forum Math. 12 no. 1 (2000) 53-64.
• [16] A.C.M. Ran, M.C.B. Reurings, A.C.M. Ran, M.C.B.Reurings, A fixed, point theorem in partially ordered sets and some applications to matrix equations, Proc. Amer. Math. Soc. 132 (2004) 1435-1443.
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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).