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Abstrakty
In this paper, we prove some fixed point theorems in complete G-metric space for self mapping satisfying various contractive conditions. We also discuss that these mappings are G-continuous on such a fixed point.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
127--139
Opis fizyczny
Bibliogr. 9 poz.
Twórcy
autor
- Department of Mathematics NIT, Hamirpur
autor
- Deen Bandhu Chhotu Ram University of Science and Techonology Murthal, Sonepat (Haryana)
autor
Bibliografia
- [1] Dhage B.C., Generalized metric space and mapping with fixed point, Bull. Cal. Math. Soc, 84(1992), 329-336.
- [2] Mustafa Z., Sims B., Some remarks concerning D-metric spaces, Proceedings of International Conference on Fixed Point Theory and Applications, Yokohama Publishers, Valencia Spain, July 13-19, 2004, 189-198.
- [3] Mustafa Z., Sims B., A new approach to a generalized metric spaces, J. Nonlinear Convex Anal., 7(2006), 289-297.
- [4] Mustafa Z., Sims B., Fixed point theorems for contractive mappings in complete G-metric spaces, Fixed Point Theory and Applications, Vol. 2009, Article ID917175, 10 pages.
- [5] Mustafa Z., Obiedat H., Awawdeh F., Some fixed point theorems for mappings on complete G-metric spaces, Fixed Point Theory and Applications, Vol. 2008, Article ID18970, 12 pages.
- [6] Mustafa Z., Shatanawi W., Bataineh M., Existence of fixed points results in G-metric spaces, International Journal of Mathematics and Mathematical Sciences, Vol. 2009, Article ID283028 10 pages.
- [7] Mustafa Z., Obiedat H., A fixed point theorem of reich in G-metric space, Cubo a Mathematics Journal, 12(01)(2010), 83-93.
- [8] Mustafa Z., Awawdeh F., Shatanawi W., Fixed point theorem for expansive mapping in G-metric space, Int. J. Contemp Math. Sciences, 5(50)(2010), 2463-2472.
- [9] Shatanawi W., Fixed point theorey for contractive mapping satisfying ϕ — maps in G-metric spaces, Fixed Point Theory and Application, Vol. 2010, Article ID 181650, 9 pages.
Typ dokumentu
Bibliografia
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