Fixed point index for discontinuous operators and fixed point theorems in cones with applications

被引：0
|
作者：
Rubén Figueroa
Rodrigo López Pouso
Jorge Rodríguez–López
机构：
[1] Universidade de Santiago de Compostela,Departamento de Estatística, Análise Matemática e Optimización, Facultade de Matemáticas, Instituto de Matemáticas
来源：
Journal of Fixed Point Theory and Applications | 2020年 / 22卷
关键词：
Fixed point index theory; Leggett–Williams theorem; discontinuous differential equations; 47H10; 47H11; 34A36;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We obtain a new fixed point index theory for a class of not necessarily continuous operators in cones. We employ this tool to prove a discontinuous version of Leggett–Williams’ fixed point theorem. Finally, we establish new existence and multiplicity criteria for a second-order three point BVP with discontinuous nonlinearities.
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