Some results in fixed point theory and application to the convergence of some iterative processes

被引：0
|
作者：
Redjel, Najeh [1 ,2 ]
Dehici, Abdelkader [1 ,2 ]
机构：
[1] Univ Souk Ahras, Lab Informat & Math, Souk Ahras 41000, Algeria
[2] Univ Constantine 1, Dept Math, Constantine 25000, Algeria
来源：
FIXED POINT THEORY AND APPLICATIONS | 2015年
关键词：
Banach space; normal structure; rational expression; fixed point; Picard iteration; Mann iteration; Ishikawa iteration; Kirk iteration; SUBSEQUENTIAL LIMIT POINTS; MANN ITERATIONS; ISHIKAWA; EQUIVALENCE; STABILITY; MAPPINGS; SET;
D O I：
10.1186/s13663-015-0415-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the existence and uniqueness of fixed points for a class of self-mappings satisfying certain rational expressions on closed, bounded and convex subsets with normal structures in reflexive Banach spaces. We show that, in particular, this class extends that introduced by Ray and Singh (Indian J. Pure Appl. Math. 9:216-221, 1978). As an application, we give an investigation of the convergence and stability of some iterative processes associated to these mappings.
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页数：17
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