A Class of nonlinear $(A,\eta)$-monotone operator inclusion problems with iterative algorithm and fixed point theory | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 8، دوره 2، شماره 2، 2011، صفحه 75-85 اصل مقاله (322.23 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2011.99 | ||
| نویسندگان | ||
| M. Alimohammady* ؛ M. Koozehgar Kallegi | ||
| Department of Mathematics, University of Mazandaran, Babolsar, Iran. | ||
| چکیده | ||
| A new class of nonlinear set-valued variational inclusions involving $(A,\eta)$-monotone mappings in a Banach space setting is introduced and then based on the generalized resolvent operator technique associated with $(A,\eta)$-monotonicity, the existence and approximation solvability of solutions using an iterative algorithm and fixed point theory is investigated. | ||
| کلیدواژهها | ||
| $(A, \eta)$-monotonicity؛ $\delta$-Lipschitz؛ $(H,\eta)$-monotone operator | ||
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