A note on the equivalence of some metric and H-cone metric fixed point theorems for multivalued contractions

被引：0

作者：

Huaping Huang

Stojan Radenović

Dragan Ðorić

机构：

[1] Hubei Normal University,School of Mathematics and Statistics

[2] Dong Thap University,Faculty of Mathematics and Information Technology

[3] University of Belgrade,Faculty of Organizational Sciences

来源：

Fixed Point Theory and Applications | / 2015卷

关键词：

Hausdorff-Pompeiu metric; -cone metric; cone metric space; fixed point; multivalued contraction; 47H10; 54H25;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, by using Minkowski functional introduced by Kadelburg et al. (Appl. Math. Lett. 24:370-374, 2011) or nonlinear scalarization function introduced by Du (Nonlinear Anal. 72:2259-2261, 2010), we prove some equivalences between vectorial versions of fixed point theorems for H-cone metrics in the sense of Arshad and Ahmad and scalar versions of fixed point theorems for (general) Hausdorff-Pompeiu metrics (in usual sense).

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