System of generalized nonlinear variational-like inclusion problems in 2-uniformly smooth Banach spaces

	System of generalized nonlinear variational-like inclusion problems in 2-uniformly smooth Banach spaces
International Journal of Nonlinear Analysis and Applications
مقاله 21، دوره 13، شماره 1، خرداد 2022، صفحه 267-287 اصل مقاله (428.85 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.20694.2197
نویسنده
Sumeera Shafi^*
Department of Mathematics, University of Kashmir, Srinagar-190006, India
چکیده
In this manuscript, we introduce and study the existence of a solution of a system of generalized nonlinear variational-like inclusion problems in 2-uniformly smooth Banach spaces by using $H(.,.)$-$\eta$-proximal mapping. The method used in this paper can be considered as an extension of methods for studying the existence of solutions of various classes of variational inclusions considered and studied by many authors in 2-uniformly smooth Banach spaces. Some important results, theorems and the existence of solution of the proposed system of generalized nonlinear variational-like inclusion problems have been derived.
کلیدواژه‌ها
System of generalized nonlinear variational-like inclusion problems؛ $H(؛ .)$-$eta$-Proximal mapping method؛ 0-Diagonally Quasi-concave (0-DQCV )؛ 2-uniformly smooth Banach spaces؛ Iterative algorithm؛ Convergence analysis
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