Fixed points and endpoints of contractive set-valued maps in cone uniform spaces with generalized pseudodistances

Fixexd point theory and applications

odarczyk¹  Kazimierz Wł⁴  Robert Plebaniak⁵ 

[1] ó, Ł, Poland;Department of Nonlinear Analysis, Faculty of Mathematics and Computer Science, University of Łdź

关键词: fixed point;    endpoint;    contraction of Nadler type;    cone uniform space;    generalized pseudodistance;    set-valued dynamic system;    dynamic process;   

DOI  :  10.1186/1687-1812-2012-176

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We introduce the concept of contractive set-valued maps in cone uniform spaces with generalized pseudodistances and we show how in these spaces our fixed point and endpoint existence theorem of Caristi type yields the fixed point and endpoint existence theorem for these contractive maps. MSC:47H10, 54C60, 47H09, 54E15, 46A03, 54E50, 46B40.

【 授权许可】

CC BY