Graphical approximation of common solutions to generalized nonlinear relaxed cocoercive operator equation systems with (A, h)-accretive mappings
نویسندگان
چکیده
* Correspondence: [email protected] Department of Mathematics, Sichuan University of Science and Engineering, Zigong, 643000, Sichuan, People’s Republic of China Full list of author information is available at the end of the article Abstract In this paper, we develop a new perturbed iterative algorithm framework with errors based on the variational graphical convergence of operator sequences with (A, h)accretive mappings in Banach space. By using the generalized resolvent operator technique associated with (A, h)-accretive mappings, we also prove the existence of solutions for a class of generalized nonlinear relaxed cocoercive operator equation systems and the variational convergence of the sequence generated by the perturbed iterative algorithm in q-uniformly smooth Banach spaces. The obtained results improve and generalize some well-known results in recent literatures. 2000 Mathematics Subject Classification: 47H05; 49J40
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