A fixed point theorem for operators of Meir-Keeler type via the degree of nondensifiability and its application in dynamic programming

被引：3
|
作者：
Caballero, J. [1 ]
Harjani, J. [1 ]
Sadarangani, K. [1 ]
机构：
[1] Univ Las Palmas Gran Canaria, Dept Matemat, Campus Tafira, Las Palmas Gran Canaria 35017, Spain
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2020年 / 22卷 / 01期
关键词：
Meir-Keeler operator; fixed point theorem; degree of nondensifiability; functional equation; dynamic programming; 47H10; 39B05; FUNCTIONAL INTEGRAL-EQUATIONS; BANACH-ALGEBRAS; EXISTENCE; NONCOMPACTNESS; SYSTEMS;
D O I：
10.1007/s11784-019-0748-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove a fixed point theorem for operators of Meir-Keeler type by using the concept of degree of nondensifiability. As an application of our result, we study the existence of solutions for a class of functional equations appearing in dynamic programming.
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页数：14
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