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On well-posedness of generalized equilibrium problems involving -monotone bifunction | ||
| Journal of Hyperstructures | ||
| دوره 5، شماره 2، اسفند 2016، صفحه 151-168 اصل مقاله (342.79 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2016.2676 | ||
| نویسندگان | ||
| AYED HASHOOSH* 1؛ M. Alimohammady2 | ||
| 1Department of Mathematics, University of Mazandaran, Babolsar, Iran | ||
| 2Department of Mathematics, University of Mazandaran, P.O.Box 47416-1468, Babolsar, Iran | ||
| چکیده | ||
| The aim of this paper is to establish some uniqueness and well-posedness results for a general inequality of equilibrium problems type involving -monotone bifunction, whose solution is sought in a subset K of a Banach space X. Some metric character- izations and sucient conditions for these types of well-posedness are obtained. Moreover, we prove that the well-posedness of gen- eralized equilibrium problems is equivalent to the existence and uniqueness of its solution. | ||
| کلیدواژه‌ها | ||
| Equilibrium problems؛ Well-posed optimization problems؛ Monotonicity؛ Metric characterizations | ||
| مراجع | ||
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