Q-Functions on Quasimetric Spaces and Fixed Points for Multivalued Maps

被引：24

作者：

Marin, J. ^{[1
]}

Romaguera, S. ^{[1
]}

Tirado, P. ^{[1
]}

机构：

[1] Univ Politecn Valencia, Inst Univ Matemat Pura & Aplicada, Valencia 46022, Spain

来源：

FIXED POINT THEORY AND APPLICATIONS | 2011年

关键词：

PARTIAL METRIC-SPACES; FORMAL BALLS; PARTIAL METRIZABILITY; PRINCIPLE; DOMAINS;

D O I：

10.1155/2011/603861

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss several properties of Q-functions in the sense of Al-Homidan et al.. In particular, we prove that the partial metric induced by any T-0 weighted quasipseudometric space is a Q-function and show that both the Sorgenfrey line and the Kofner plane provide significant examples of quasimetric spaces for which the associated supremum metric is a Q-function. In this context we also obtain some fixed point results for multivalued maps by using Bianchini-Grandolfi gauge functions.

引用

页数：10

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