University of Sistan and BaluchestanIranian Journal of Fuzzy Systems1735-065412220150429Fuzzy resolvent equation with $H(cdot,cdot)$-$phi$-$eta$-accretive operator in Banach spaces95106198510.22111/ijfs.2015.1985ENRaisAhmadDepartment of Mathematics, Aligarh Muslim University, Aligarh
202002, IndiaMohdDilshadDepartment of Mathematics, Aligarh Muslim University, Aligarh
202002, IndiaJournal Article20130426In this paper, we introduce and study fuzzy variational-like inclusion, fuzzy resolvent equation and $H(cdot,cdot)$-$phi$-$eta$-accretive operator in realĀ 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.http://ijfs.usb.ac.ir/article_1985_86f566343f7b89986c214aecb2f7d718.pdf