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Kumar, Vivek, Hussain, Nawab. (1399). New Approximation Techniques for Solving Variational Inclusions Problem via SP Iterative Algorithm with Mixed Errors for Accretive Lipschitzian Operators. هنرهای کاربردی, 11(2), 457-468. doi: 10.22075/ijnaa.2020.4579
Vivek Kumar; Nawab Hussain. "New Approximation Techniques for Solving Variational Inclusions Problem via SP Iterative Algorithm with Mixed Errors for Accretive Lipschitzian Operators". هنرهای کاربردی, 11, 2, 1399, 457-468. doi: 10.22075/ijnaa.2020.4579
Kumar, Vivek, Hussain, Nawab. (1399). 'New Approximation Techniques for Solving Variational Inclusions Problem via SP Iterative Algorithm with Mixed Errors for Accretive Lipschitzian Operators', هنرهای کاربردی, 11(2), pp. 457-468. doi: 10.22075/ijnaa.2020.4579
Kumar, Vivek, Hussain, Nawab. New Approximation Techniques for Solving Variational Inclusions Problem via SP Iterative Algorithm with Mixed Errors for Accretive Lipschitzian Operators. هنرهای کاربردی, 1399; 11(2): 457-468. doi: 10.22075/ijnaa.2020.4579

New Approximation Techniques for Solving Variational Inclusions Problem via SP Iterative Algorithm with Mixed Errors for Accretive Lipschitzian Operators

International Journal of Nonlinear Analysis and Applications
دوره 11، شماره 2، اسفند 2020، صفحه 457-468    اصل مقاله (120.92 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.4579
نویسندگان
Vivek Kumar* 1؛ Nawab Hussain2
1Department of Mathematics, KLP College,Rewari, Haryana, India
2Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
تاریخ دریافت: 26 مرداد 1398،  تاریخ بازنگری: 11 مرداد 1399،  تاریخ پذیرش: 15 شهریور 1399 
چکیده
Using different convergence techniques and under the lack of parametrical restrictions, the convergence and stability results of SP iterative algorithm with mixed errors for accretive Lipschitzian operators in Banach spaces are established. We propose numerical examples to verify effectiveness of new convergence techniques and to show that SP iterative algorithm with mixed errors converges more effectively than the Mann, Ishikawa and Noor iterative algorithms with mixed errors. Moreover, new iterative approximation of solution for variational inclusion problem in Banach spaces is investigated by using SP iterative algorithm with mixed errors for accretive Lipschitzian operators. Our results are improvement and generalization of results of Kim [15], Gu [10], Gu and Lu [11], Chugh and Kumar [7] and many others in the literature.
 
کلیدواژه‌ها
Iterative Schemes؛ Fixed Point؛ Stability؛ Accretive Operators؛ Variational Inequality
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