An iterative algorithm for a system of generalized implicit variational inclusions

被引：8
|
作者：
Ahmad, Iqbal [1 ]
Mishra, Vishnu Narayan [2 ]
Ahmad, Rais [1 ]
Rahaman, Mijanur [1 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
[2] Sardar Vallabhbhai Natl Inst Technol, Appl Math & Humanties Dept, Ichchhanath Mahadev Dumas Rd, Surat 395007, India
来源：
SPRINGERPLUS | 2016年 / 5卷
关键词：
Relaxed; Algorithm; Solution; Convergence; System; Resolvent; (H; ETA)-MONOTONE OPERATORS; HILBERT-SPACES; BANACH-SPACES; INEQUALITIES; EXISTENCE;
D O I：
10.1186/s40064-016-2916-8
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we introduce a system of generalized implicit variational inclusions which consists of three variational inclusions. We design an iterative algorithm with error terms based on relaxed resolvent operator due to Ahmad et al. (Stat Optim Inf Comput 4:183-193, 2016) for approximating the solution of our system. The convergence of the iterative sequences generated by the iterative algorithm is also discussed. An example is given which satisfy all the conditions of our main result.
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页数：16
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