General implicit variational inclusion problems involving $A$-maximal relaxed accretive mappings in Banach spaces

Ram U. Verma

Address: International Publications (USA), 12085 Lake Cypress Circle, Suite I109, Orlando, Florida 32828, USA


Abstract: A class of existence theorems in the context of solving a general class of nonlinear implicit inclusion problems are examined based on $A$-maximal relaxed accretive mappings in a real Banach space setting.

AMSclassification: primary 49J40; secondary 65B05.

Keywords: implicit variational inclusions, maximal relaxed accretive mapping, A-maximal accretive mapping, generalized resolvent operator.