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New hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 12، دوره 9، شماره 1، آذر 2018، صفحه 147-159 اصل مقاله (436.98 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2018.12168.1614 | ||
| نویسندگان | ||
| Sattar Alizadeh* 1؛ Fridoun Moradlou2 | ||
| 1Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran | ||
| 2Department of Mathematics, Sahand University of Technology, Tabriz, Iran | ||
| تاریخ دریافت: 14 مرداد 1396، تاریخ بازنگری: 06 بهمن 1396، تاریخ پذیرش: 28 تیر 1397 | ||
| چکیده | ||
| In this paper, applying hybrid projection method, a new modified Ishikawa iteration scheme is presented for finding a common element of the solution set of an equilibrium problem and the set of fixed points of relatively nonexpansive mappings in Banach spaces. A numerical example is given and the numerical behaviour of the sequences generated by this algorithm is compared with several existence results in literature to illustrate the usability of obtained results. | ||
| کلیدواژهها | ||
| Equilibrium problems؛ Fixed point؛ Hybrid method؛ Relatively nonexpansive mapping؛ Weak convergence | ||
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