Fuzzy resolvent equation with H(cdot,cdot)-phi-eta-accretive operator in Banach spaces

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.

کلیدواژه ها:

Fuzzy variational-like inclusion ، Fuzzy resolvent equation ، H(cdot ، cdot)-phi-eta-accretive operator ، Algorithm ، Fixed point