We introduce a class of η-accretive mappings in a real Banach space and show that the η-proximal point mapping for η-m-accretive mapping is Lipschitz continuous. Further, we develop an iterative algorithm for a class of general variational-like inclusions involving η-accretive mappings in real Banach space, and discuss its convergence criteria. The class of η-accretive mappings includes several important classes of operators that have been studied by various authors.
|Number of pages||10|
|Journal||International Journal of Mathematics and Mathematical Sciences|
|Publication status||Published - Dec 1 2004|
All Science Journal Classification (ASJC) codes
- Mathematics (miscellaneous)