An extension of Krasnoselskii's cone fixed point theorem for a sum of two operators and applications to nonlinear boundary value problems

被引：0

作者：

Benzenati, Lyna ^{[1
]}

Mebarki, Karima ^{[1
]}

机构：

[1] Bejaia Univ, Fac Exact Sci, Lab Appl Math, Bejaia 06000, Algeria

来源：

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2023年 / 68卷 / 02期

关键词：

Fixed point; Banach space; cone; expansive mapping; sum of operators; nonlinear boundary value problem; coincidence problems; POSITIVE SOLUTIONS; COMPRESSION; EXPANSION;

D O I：

10.24193/subbmath.2023.2.16

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this work is to establish a new generalized form of the Krasnoselskii type compression-expansion fixed point theorem for a sum of an expansive operator and a completely continuous one. Applications to three non-linear boundary value problems associated to second order differential equations of coincidence type are included to illustrate the main results.

引用

页码：423 / 438

页数：16

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