$H(.,.)$-$\varphi$-$\eta$-accretive operator with an application to a system of generalized variational inclusion problems in $q$-uniformly smooth Banach spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 14، دوره 14، شماره 6، شهریور 2023، صفحه 181-195 اصل مقاله (444.15 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.24922.3029 | ||
| نویسندگان | ||
| Iqbal Bhat Mohd* 1؛ Zahoor Bisma2؛ Ahmad Malik Mudasir1 | ||
| 1Department of Mathematics, University of Kashmir South Campus, Anantnag-192101, J & K, India | ||
| 2Department of Mathematics, Cluster University, Srinagar-190008, J & K, India | ||
| چکیده | ||
| In this paper, we study a new system of generalized variational-like inclusion problems involving generalized $H(\cdot,\cdot)$-$\varphi$-$\eta$-accretive operators in real $q$-uniformly smooth Banach spaces. We define the resolvent operator associated with $H(\cdot,\cdot)$-$\varphi$-$\eta$-accretive operator and prove it is single-valued and Lipschitz continuous. Moreover, we suggest a perturbed Mann-type iterative algorithm with errors for approximating the solution of a system of generalized variational-like inclusion problems. Furthermore, we discuss the convergence and stability analysis of the iterative sequence generated by the algorithm. | ||
| کلیدواژهها | ||
| $H(\cdot؛ \cdot)$-$\varphi$-$\eta$-accretive operator؛ $q$-uniformly smooth Banach spaces؛ Resolvent operator technique؛ Perturbed Mann-type iterative algorithm؛ Convergence analysis؛ Stability analysis | ||
| مراجع | ||
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