A general fixed point theorem on G-metric spaces

• Autorzy: Dung N.V.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we prove a general fixed point theorem on G-metric spaces by an implicit relation. This result unifies many fixed point theorems in [3], [6], [9], [12].

Słowa kluczowe

EN

fixed point theorem; G-metric space

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2014
• Tom: Nr 52
• Strony: 35--43
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Dung N.V.

• Nguyen Van Dung Faculty of Mathematics and Information Technology Teacher Education Dong Thap University Cao Lanh City Dong Thap Province, Vietnam

Bibliografia

• [1] Abbas M., Nazir T., Vetro P., Common fixed point results for three maps in G-metric spaces, Filomat, 25(4)(2011), 1-17.
• [2] Cho Y.J., Rhoades B.E., Saadati R., Samet B., Shatanawi W., Non-linear coupled fixed point theorems in ordered generalized metric spaces with integral type, Fixed Point Theory Appl., 2012(8)(2012), 1-14.
• [3] Chugh R., Kadian T., Rani A., Rhoades B.E., Property P in G-metric spaces, Fixed Point Theory Appl., 2010(2010), 1-12.
• [4] Gajić L., Crvenković Z.L., A fixed point result for mappings with con-tractive iterate at a point in G-metric spaces, Filomat, 25(2)(2011), 53-58.
• [5] Gajić L., Crvenković Z.L., On mappings with contractive iterate at a point in generalized metric spaces, Fixed Point Theory Appl., 2010(2010), 1-16.
• [6] Mustafa Z., Obiedat H., A fixed point theorem of Reich in G-metric spaces, Cubo, 12(1)(2010), 83-93.
• [7] Mustafa Z., Shatanawi W., Bataineh M., Existence of fixed point results in G-metric spaces, Fixed Point Theory Appl., 2009(2009), 1-10.
• [8] Mustafa Z., Sims B., A new approach to generalized metric spaces, J. Non-linear Convex Anal., 7(2)(2006), 289-297.
• [9] Mustafa Z., Sims B., Fixed point theorems for contractive mappings in complete G-metric spaces, Fixed Point Theory Appl., 2009(2009), 1-10.
• [10] Shatanawi W., Fixed point theory for contractive mapping satisfying φ-maps in G-metric spaces, Fixed Point Theory Appl., 2010(2010), 1-9.
• [11] Shatanawi W., Some fixed point theorems in ordered G-metric spaces and applications, Abstr. Appl. Anal., 2011(2011), 1-11.
• [12] Vats R. K., Kumar S., Sihag V., Fixed point theorems in complete G-metric space, Fasc. Math., 47(2011), 127-139.