## Taiwanese Journal of Mathematics

### GENERALIZED VARIATIONAL INCLUSIONS AND $H$-RESOLVENT EQUATIONS WITH $H$-ACCRETIVE OPERATORS

#### Abstract

In this paper, we consider a more general form of variational inclusions, called generalized variational inclusion (for short, GVI). In connection with GVI, we also consider a generalized resolvent equation with $H$-resolvent operator, called $H$-resolvent equation (for short, $H$-RE). We suggest iterative algorithms to compute the approximate solutions of GVI and $H$-RE. The existence of a unique solution of GVI and $H$-RE and convergence of iterative sequences generated by the proposed algorithms are also studied. Several special cases are also discussed.

#### Article information

Source
Taiwanese J. Math., Volume 11, Number 3 (2007), 703-716.

Dates
First available in Project Euclid: 18 July 2017

https://projecteuclid.org/euclid.twjm/1500404753

Digital Object Identifier
doi:10.11650/twjm/1500404753

Mathematical Reviews number (MathSciNet)
MR2340159

Zentralblatt MATH identifier
1138.49008

#### Citation

Ahmad, Rais; Ansari, Qamrul Hasan. GENERALIZED VARIATIONAL INCLUSIONS AND $H$-RESOLVENT EQUATIONS WITH $H$-ACCRETIVE OPERATORS. Taiwanese J. Math. 11 (2007), no. 3, 703--716. doi:10.11650/twjm/1500404753. https://projecteuclid.org/euclid.twjm/1500404753