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.
Citation
Rais Ahmad. Qamrul Hasan Ansari. "GENERALIZED VARIATIONAL INCLUSIONS AND $H$-RESOLVENT EQUATIONS WITH $H$-ACCRETIVE OPERATORS." Taiwanese J. Math. 11 (3) 703 - 716, 2007. https://doi.org/10.11650/twjm/1500404753
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