H(.,.)-η-cocoercive operators and variational-like inclusions in Banach spaces

被引：4
|
作者：
Ahmad, Rais [1 ]
Dilshad, Mohammad [1 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2012年 / 5卷 / 05期
关键词：
H; )-eta-cocoercive; Algorithm; Inclusion; Banach spaces; Lipschitz continuity;
D O I：
10.22436/jnsa.005.05.03
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we define H (., .)-eta-cocoercive operators in q-uniformly smooth Banach spaces and its resolvent operator. We prove the Lipschitz continuity of the resolvent operator associated with H (., .)-eta-cocoercive operator and estimate its Lipschitz constant. By using the techniques of resolvent operator, an iterative algorithm for solving a variational-like inclusion problem is constructed. The existence of solution for the variational-like inclusions and the convergence of iterative sequences generated by the algorithm is proved. Some examples are given. (C) 2012 NGA. All rights reserved.
引用
收藏
页码：334 / 344
页数：11
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