Iterative algorithm for fixed point problems of generalized nearly asymptotically nonexpansive mappings and solutions of a system of generalized nonlinear variational-like inclusions

被引：0
作者：
Javad Balooee
Shih-sen Chang
Lin Wang
机构：
[1] University of Tehran,School of Mathematics, Statistics and Computer Science, College of Science
[2] China Medical University,Center for General Education
[3] Yunnan University of Finance and Economics,undefined
来源：
Journal of Inequalities and Applications | / 2022卷
关键词：
Generalized nearly asymptotically nonexpansive mapping; Fixed point problem; System of generalized nonlinear variational-like inclusions; -; -accretive mapping; Iterative algorithm; Graph convergence; Resolvent operator technique; Convergence analysis; 47H05; 47H06; 47H09; 47J22; 47J25; 49J40; 47J20;
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摘要：
This paper is devoted to the study of a class of generalized nonexpansive mappings called generalized nearly asymptotically nonexpansive mappings and to show that it properly includes the class of nearly asymptotically nonexpansive mappings. We investigate the problem of approximating a common element of the set of solutions of a system of generalized nonlinear variational-like inclusions involving P-η-accretive mappings and of the set of fixed points of a generalized nearly asymptotically nonexpansive mapping. To this end, we suggest a new iterative algorithm with mixed errors. As an application of the obtained equivalence, we prove the strong convergence and stability of the sequence generated by the proposed iterative algorithm to a common point of the two sets mentioned above.
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