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

被引：6

作者：

Wlodarczyk, Kazimierz ^{[1
]}

Plebaniak, Robert ^{[1
]}

机构：

[1] Univ Lodz, Dept Nonlinear Anal, Fac Math & Comp Sci, PL-90238 Lodz, Poland

来源：

FIXED POINT THEORY AND APPLICATIONS | 2012年

关键词：

fixed point; endpoint; contraction of Nadler type; cone uniform space; generalized pseudodistance; set-valued dynamic system; dynamic process; DYNAMIC-SYSTEMS; VARIATIONAL PRINCIPLE; MULTIVALUED MAPPINGS; GENERIC EXISTENCE; LEADER TYPE; THEOREMS; APPROXIMATION; CONVERGENCE;

D O I：

10.1186/1687-1812-2012-176

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：15

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