NEW MULTIPLE FIXED POINT THEOREMS FOR SUM OF TWO OPERATORS AND APPLICATION TO A SINGULAR GENERALIZED STURM-LIOUVILLE MULTIPOINT BVP

被引：0
|
作者：
Bouchal, Lydia [1 ]
Mebarki, Karima [1 ]
机构：
[1] Bejaia Univ, Fac Exact Sci, Lab Appl Math, Bejaia 6000, Algeria
来源：
MATEMATICKI VESNIK | 2024年 / 76卷 / 03期
关键词：
Fixed point; sum of operators; cone; Sturm-Liouville BVP; multiple positive solutions; POSITIVE SOLUTIONS; INDEX;
D O I：
10.57016/MV-38FENT80
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
. In this paper, we develop some new multiple fixed point theorems for the sum of two operators T + S where I - T is Lipschitz invertible and S is a k -set contraction on translate of a cone in a Banach space. New existence criteria for multiple positive solutions of a singular generalized Sturm-Liouville multipoint boundary value problem are established. The article ends with an illustrative example.
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页码：196 / 209
页数：14
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