A FURTHER GENERALIZATION OF MIDPOINT CONVEXITY OF MULTIMAPS TOWARDS COMMON FIXED POINT THEOREMS AND APPLICATIONS

被引：0
|
作者：
Benedetti, Irene [1 ]
Martellotti, Anna [1 ]
机构：
[1] Univ Perugia, Dept Math & Comp Sci, I-06123 Perugia, Italy
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2015年 / 46卷 / 01期
关键词：
Common fixed points; midpoint convexity; commuting families of multimaps; best approximations; variational inequalities;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We furtherly generalize midpoint convexity for multivalued maps and derive Fixed Point Theorems and Common Fixed Point Theorems without requiring strong compactness. As an application we obtain some Best Approximation results, and minimax and variational inequalities.
引用
收藏
页码：93 / 111
页数：19
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