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

Fixexd point theory and applications

Stojan Radenović^{1  2}  Huaping Huang³ 

[1] Faculty of Mathematics and Information Technology, Dong Thap University, Dong Thap, Vietnam;Faculty of Organizational Sciences, University of Belgrade, Beograd, Serbia;School of Mathematics and Statistics, Hubei Normal University, Huangshi, China

关键词: Hausdorff-Pompeiu metric;    H-cone metric;    cone metric space;    fixed point;    multivalued contraction;    47H10;    54H25;   

DOI  :  10.1186/s13663-015-0289-2

学科分类：数学（综合）

来源: SpringerOpen

【 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).

【 授权许可】

CC BY