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;
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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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