Fixed point theorems in complete G-metric space

• Autorzy: Vats R K , Kumar S. , Sihag V.
• Języki publikacji: EN

Abstrakty

EN

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

EN

G-metric spaces; fixed point

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2011
• Tom: Nr 47
• Strony: 127--139
• Opis fizyczny: Bibliogr. 9 poz.

Twórcy

autor

Vats R K

• Department of Mathematics NIT, Hamirpur

autor

Kumar S.

• Deen Bandhu Chhotu Ram University of Science and Techonology Murthal, Sonepat (Haryana)

autor

Sihag V.

Bibliografia

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• [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.