In this paper, we consider extended variational-like inclusion problem (for short EVLIP) which contains many known variational inclusions existing in literature. In connection with EVLIP we consider a generalized resolvent equation problem with $H$-$\phi$-$\eta$-accretive operator called generalized $H$-resolvent equation problem (for short $H$-REP). To compute the approximate solution of $H$-REP, we introduce an algorithm. Convergence of sequences procreated by algorithm are also studied.
Keywords and Phrases
Extended Variational-Like Inclusion, Resolvent Operator, Generalized $H$-Resolvent Equation, Algorithm, Convergence.
A.M.S. subject classiﬁcation
49J40, 47J20, 47H06, 49J53.