Existence of Fixed Points for a Class of Decreasing Operators with Parameter and Applications

被引：0

作者：

Li, Xingchang ^{[1
]}

Tian, Shiqin ^{[1
]}

机构：

[1] Shandong Univ Polit Sci & Law, Business Coll, Jinan 250014, Shandong, Peoples R China

来源：

JOURNAL OF MATHEMATICS | 2022年 / 2022卷

关键词：

GAMES; UNIQUENESS;

D O I：

10.1155/2022/4861344

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies the existence of fixed points for a class of decreasing operators with parameter in real Banach spaces. The existence theorems of fixed point are obtained as when the parameter is increasing, there will still be a large fixed point. These results have reduced the requirements of convexity, compactness, and lattice structure of spaces. By this new method, the existence of solutions for a class of second-order differential equations with parameter in infinite intervals is studied.

引用

页数：5

共 18 条

[1] On J-Cone Metric Spaces over a Banach Algebra and Some Fixed-Point Theorems
Fernandez, Jerolina
Malviya, Neeraj
Parvaneh, Vahid
Aydi, Hassen
Mohammadi, Babak
[J]. ADVANCES IN MATHEMATICAL PHYSICS, 2021, 2021
[2] Guo D., 2001, Nonlinear Functional Analysis, V2nd ed.
[3] Guo D., 1988, NONLINEAR PROBLEMS A
[4] Guo DJ, 2000, INDIAN J PURE AP MAT, V31, P551
[5] GUO DJ, 1993, CHINESE ANN MATH B, V14, P419
[6] Fixed point approach for solving a system of Volterra integral equations and Lebesgue integral concept in FCM-spaces
Hammad, Hasanen A.
Aydi, Hassen
Park, Choonkil
[J]. AIMS MATHEMATICS, 2022, 7 (05): : 9003 - 9022
[7] A dominance solvable global game with strategic substitutes
Harrison, Rodrigo
Jara-Moroni, Pedro
[J]. JOURNAL OF MATHEMATICAL ECONOMICS, 2015, 57 : 1 - 11
[8] A fixed point theorem for convex and decreasing operators
Li, Ke
Liang, Jin
Xiao, Ti-Jun
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 63 (5-7) : E209 - E216
[9] Fixed point theorems for decreasing operators in ordered Banach spaces with lattice structure and their applications
Li, Xingchang
Wang, Zhihao
[J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
[10] Mohammadi B., 2021, J MATH-UK, V2021, P8

← 1 2 →