GENERALIZED \textit{H}- RESOLVENT EQUATION WITH $H-\phi-\eta$ ACCRETIVE OPERATOR

Print ISSN: 0972-7752 | Online ISSN: 2582-0850

Abstract

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.

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