A new extragradient-viscosity algorithm for finite families of asymptotically nonexpansive mappings and variational inequality problems in Banach spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 38، دوره 13، شماره 2، مهر 2022، صفحه 409-433 اصل مقاله (477.04 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22422.2358 | ||
| نویسندگان | ||
| lmo Kalu Agwu* ؛ Donatus Ikechi Igbokwe | ||
| Department of Mathematics, Micheal Okpara University of Agriculture, Umudike, Umuahia Abia State, Nigeria | ||
| چکیده | ||
| ln this paper, a new approach for finding common element of the set of solutions of the variational inequality problem for accretive mappings and the set of fixed points for asymptotically nonexpansive mappings is introduced and studied. Consequently, strong convergence results for finite families of asymptotically nonexpansive mappings and variational inequality problems are established in the setting of uniformly convex Banach space and 2-uniformly smooth Banach space. Furthermore, we prove that a slight modification of our novel scheme could be applied in finding common element of solution of variational inequality problems in Hilbert space. Our results improve, extend and generalize several recently announced results in literature. | ||
| کلیدواژهها | ||
| Strong convergence؛ Variational inequality؛ Asymptotically nonexpansive mappin؛ , Extragradient-Viscosity algorithm؛ Common fixed point؛ Banach space | ||
| مراجع | ||
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