International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 21-24, Pages 1159-1168
doi:10.1155/S0161171204209395
Iterative approximation of a solution of a general variational-like inclusion in Banach spaces
C.E. Chidume
, K.R. Kazmi
and H. Zegeye
The Abdus Salam International Centre for Theoretical Physics, Trieste 34100, Italy
Abstract
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.