Weakly compatible maps of type (A) in G-metric spaces

• Autorzy: Manro S. , Kumar S. , Bhatia S. S.
• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce the concept of compatible maps and weakly compatible maps of type (A) in G-metric spaces.

Słowa kluczowe

EN

G-metric space; compatible maps of type (A); weakly compatible maps of type (A)

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2012
• Tom: Vol. 45, nr 4
• Strony: 901--908
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Manro S.

autor

Kumar S.

autor

Bhatia S. S.

• School Of Mathematics And Computer Applications Thapar University Patiala-147 004, India,

Bibliografia

• [1] B. C. Dhage, Generalized metric spaces and mappings with fixed point, Bull. Calcutta Math. Soc. 84 (1992), 329–336.
• [2] C. R. Hsiao, A property of contraction type mappings in 2-metric spaces, Jnanabha 16 (1986), 223–229.
• [3] S. Gahler, 2-metrische Raume und ihre topologische Struktur, Math. Nachr. 26 (1963), 115–148.
• [4] G. Jungck, Commuting mappings and fixed point, Amer. Math. Monthly 83 (1976), 261–263.
• [5] G. Jungck, B. E. Rhoades, Fixed point for set valued functions without continuity, Indian. J. Pure Appl. Math. 29 (1998), 227–238.
• [6] Z. Mustafa, B. Sims, 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.
• [7] Z. Mustafa, B. Sims, A new approach to a generalized metric spaces, J. Nonlinear Convex Anal. 7 (2006), 289–297.
• [8] Z. Mustafa, H. Obiedat, F. Awawdeh, Some fixed point theorems for mappings on complete G-metric spaces, Fixed Point Theory Appl., Vol. 2008, Article ID 18970, 12 pages.
• [9] Z. Mustafa, W. Shatanawi, M. Bataineh, Existence of fixed points results in G-metric spaces, International Journal of Mathematics and Mathematical Sciences, Vol. 2009, Article ID 283028, 10 pages.
• [10] Z. Mustafa, B. Sims, Fixed point theorems for contractive mappings in complete G-metric spaces, Fixed Point Theory Appl., Vol. 2009, Article ID 917175, 10 pages.
• [11] Z. Mustafa, H. Obiedat, A fixed points theorem of Reich in G-metric spaces, Cubo Math. J. 12 (2010), 83–93.
• [12] Z. Mustafa, F. Awawdeh, W. Shatanawi, Fixed point theorem for expansive mappings in G-metric spaces, Int. J. Contemp. Math. Sciences 5 (2010), 2463–2472.
• [13] W. Shatanawi, Fixed point theory for contractive mappings satisfying '-maps in G-metric spaces, Fixed Point Theory Appl., Vol. 2010, Article ID 181650, 9 pages.