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Fuzzy resolvent equation with $H(cdot,cdot)$-$phi$-$eta$-accretive operator in Banach spaces | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 8، دوره 12، شماره 2، تیر 2015، صفحه 95-106 اصل مقاله (377.37 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2015.1985 | ||
| نویسندگان | ||
| Rais Ahmad* ؛ Mohd Dilshad | ||
| Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India | ||
| چکیده | ||
| In this paper, we introduce and study fuzzy variational-like inclusion, fuzzy resolvent equation and $H(cdot,cdot)$-$phi$-$eta$-accretive operator in real uniformly smooth Banach spaces. It is established that fuzzy variational-like inclusion is equivalent to a fixed point problem as well as to a fuzzy resolvent equation. This equivalence is used to define an iterative algorithm for solving fuzzy resolvent equation. Some examples are given. | ||
| کلیدواژهها | ||
| Fuzzy variational-like inclusion؛ Fuzzy resolvent equation؛ $H(cdot؛ cdot)$-$phi$-$eta$-accretive operator؛ Algorithm؛ Fixed point | ||
| مراجع | ||
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