TY - JOUR
T1 - Iterative approximation of a solution of a general variational-like inclusion in banach spaces
AU - Chidume, C. E.
AU - Kazmi, K. R.
AU - Zegeye, H.
PY - 2004
Y1 - 2004
N2 - 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.
AB - 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.
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U2 - 10.1155/S0161171204209395
DO - 10.1155/S0161171204209395
M3 - Article
AN - SCOPUS:15344341175
SN - 0161-1712
VL - 2004
SP - 1159
EP - 1168
JO - International Journal of Mathematics and Mathematical Sciences
JF - International Journal of Mathematics and Mathematical Sciences
IS - 22
ER -