论文信息 - Existence of Fixed Point Results in G-Metric Spaces

Existence of Fixed Point Results in G-Metric Spaces

The purpose of this paper is to prove the existence of fixed points of contractive mapping defined on 𝐺-metric space where the completeness is replaced with weaker conditions. Moreover, we showed that these conditions do not guarantee the completeness of 𝐺-metric spaces.

[1] Sakuru V. R. Naidu,et al. On the concepts of balls in a D-metric space , 2005, Int. J. Math. Math. Sci..

[2] Zead Mustafa,et al. Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces , 2008 .

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

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

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

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

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