Iteration scheme for common fixed points of hemicontractive and nonexpansive operators in Banach spaces

被引：1
|
作者：
Hussain, Nawab [1 ]
Sahu, D. R. [2 ]
Rafiq, Arif [3 ]
机构：
[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[2] Banaras Hindu Univ, Fac Sci, Dept Math, Varanasi 221005, Uttar Pradesh, India
[3] Lahore Leads Univ, Dept Math, Lahore, Pakistan
来源：
FIXED POINT THEORY AND APPLICATIONS | 2013年
关键词：
modified iterative scheme; nonexpansive mappings; phi-hemicontractive mappings; Banach spaces; MAPPINGS; APPROXIMATION; EQUATIONS; ISHIKAWA; ERRORS;
D O I：
10.1186/1687-1812-2013-247
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this paper is to characterize the conditions for the convergence of the iterative scheme in the sense of Agarwal et al. (J. Nonlinear Convex. Anal. 8(1): 61-79, 2007), associated with nonexpansive and phi-hemicontractive mappings in a nonempty convex subset of an arbitrary Banach space.
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