Fixed point theorems for mappings satisfying contractive conditions of integral type and applications

被引：55
|
作者：
Liu, Zeqing [3 ]
Li, Xin [3 ]
Kang, Shin Min [1 ,2 ]
Cho, Sun Young [1 ,2 ]
机构：
[1] Gyeongsang Natl Univ, Dept Math, Jinju 660701, South Korea
[2] Gyeongsang Natl Univ, RINS, Jinju 660701, South Korea
[3] Liaoning Normal Univ, Dept Math, Dalian 116029, Liaoning, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2011年
关键词：
contractive mappings of integral type; complete metric space; fixed point theorem; functional equation; dynamic programming; bounded solution; WEAKLY COMPATIBLE MAPPINGS; FUNCTIONAL-EQUATIONS; EXISTENCE THEOREMS; SOLVABILITY; SYSTEM;
D O I：
10.1186/1687-1812-2011-64
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the existence, uniqueness and iterative approximations of fixed points for contractive mappings of integral type in complete metric spaces are established. As applications, the existence, uniqueness and iterative approximations of solutions for a class of functional equations arising in dynamic programming are discussed. The results presented in this paper extend and improve essentially the results of Branciari (A fixed point theorem for mappings satisfying a general contractive condition of integral type. Int. J. Math. Math. Sci. 29, 531-536, 2002), Kannan (Some results on fixed points. Bull. Calcutta Math. Soc. 60, 71-76, 1968) and several known results. Four concrete examples involving the contractive mappings of integral type with uncountably many points are constructed. 2010 Mathematics Subject Classfication: 54H25, 47H10, 49L20, 49L99, 90C39.
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页码：1 / 18
页数：18
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