Fixed point results on a class of generalized metric spaces

被引：25

作者：

Aydi H. ^{[1
]}

Karapinar E. ^{[2
]}

Lakzian H. ^{[3
]}

机构：

[1] Université de Sousse, Institut Supérieur d’Informatique et des Technologies de Communication de Hammam Sousse, Route GP1, H. Sousse

[2] Department of Mathematics, Atılım University, İncek, 06836, Ankara

[3] Department of Mathematics, Payame Noor University, Tehran

来源：

Mathematical Sciences | 2012年 / 6卷 / 1期

关键词：

54H25; 47H10; Contractive type mapping; Fixed point; Generalized metric spaces;

D O I：

10.1186/2251-7456-6-46

中图分类号：

学科分类号：

摘要：

Brianciari (‘A fixed point theorem of Banach-Caccioppoli type on a class of generalized metric spaces,’ Publ. Math. Debrecen 57 (2000) 31-37) initiated the notion of the generalized metric space as a generalization of a metric space in such a way that the triangle inequality is replaced by the ‘quadrilateral inequality,’ d(x,y) ≤ d(x,a) + d(a,b) + d(b,y) for all pairwise distinct points x,y,a, and b of X. In this paper, we establish a fixed point result for weak contractive mappings T : X → X in complete Hausdorff generalized metric spaces. The obtained result is an extension and a generalization of many existing results in the literature. © 2012, Aydi et al; licensee Springer.

引用

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