Cargando…
Iterative approximation of a solution of a general variational-like inclusion in Banach spaces
In this paper, we introduce a class of $\eta$-accretive mappings in a real Banach space, and show that the $\eta$-proximal point mapping for $\eta$-$m$-accretive mapping is Lipschitz continous. Further we develop an iterative for a class of general variational-like inclusions involving $\eta$-accret...
Autores principales: | , , |
---|---|
Lenguaje: | eng |
Publicado: |
2002
|
Materias: | |
Acceso en línea: | http://cds.cern.ch/record/646734 |
Sumario: | In this paper, we introduce a class of $\eta$-accretive mappings in a real Banach space, and show that the $\eta$-proximal point mapping for $\eta$-$m$-accretive mapping is Lipschitz continous. Further we develop an iterative for a class of general variational-like inclusions involving $\eta$-accretive mappings in real Banach space, and discuss its convergence criteria. The class of $\eta$-accretive mappings includes several important classes of operators that have been studied by various authors. |
---|