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

作者：Huang Huaping; Radenovic Stojan^*; Doric Dragan

来源：Fixed Point Theory and Applications, 2015, 2015(1): 43.

DOI：10.1186/s13663-015-0289-2

• Hausdorff-Pompeiu metric
• H-cone metric
• cone metric space
• fixed point
• multivalued contraction

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).

• 出版日期2015-3-26
• 单位湖北师范大学