论文信息 - Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces

Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces

We prove some fixed point results for mapping satisfying sufficient conditions on complete -metric space, also we showed that if the -metric space is symmetric, then the existence and uniqueness of these fixed point results follow from well-known theorems in usual metric space , where is the usual metric space which defined from the -metric space .

[1] Zead Mustafa,et al. Fixed Point Theorems for Contractive Mappings in Complete -Metric Spaces , 2009 .

[2] S. Gähler,et al. 2-metrische Räume und ihre topologische Struktur†‡‡ , 1963 .

[3] Simeon Reich,et al. Some Remarks Concerning Contraction Mappings , 1971, Canadian Mathematical Bulletin.

[4] B. Dhage,et al. GENERALISED METRIC SPACE AND MAPPINGS WITH FIXED POINT , 1992 .

[5] L. Ciric,et al. A generalization of Banach’s contraction principle , 1974 .

[6] C. Lin. On Strictly Convex and Strictly 2-Convex 2-Normed Spaces , 1990 .

[7] Siegfried Gähler,et al. Remarks on Strictly Convex and Strictly 2-Convex 2-Normed Spaces , 1979 .

[8] D. R. Smart. Fixed Point Theorems , 1974 .

[9] B. Rhoades,et al. A fixed point theorem for generalized metric spaces , 1996 .

[10] Zead Mustafa,et al. A new approach to generalized metric spaces , 2006 .