Mixed monotone operators and their application to integral equations

被引：10

作者：

Wardowski, Dariusz ^{[1
]}

机构：

[1] Univ Lodz, Dept Nonlinear Anal, Fac Math & Comp Sci, Banacha 22, PL-90238 Lodz, Poland

来源：

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2017年 / 19卷 / 02期

关键词：

(e; u)-concave-convex operator; fixed point; mixed monotone operator; nonlinear integral equation; existence and uniqueness of a solution; COUPLED FIXED-POINTS; EXISTENCE; UNIQUENESS;

D O I：

10.1007/s11784-016-0335-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the mixed monotone operators of a new type in a Cartesian product of a Banach space with an order determined by a normal cone. We establish sufficient conditions for such operators to have a unique fixed point and provide monotone iterative techniques which give sequences convergent to the fixed point. We also apply the obtained results to prove the existence and uniqueness of a solution of a nonlinear integral equation.

引用

页码：1103 / 1117

页数：15

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