A Class of nonlinear $(A,\eta)$-monotone operator inclusion problems with iterative algorithm and fixed point theory


Department of Mathematics, University of Mazandaran, Babolsar, Iran.


A new class of nonlinear set-valued variational
inclusions involving $(A,eta)$-monotone mappings in a Banach
space setting is introduced, and then based on the generalized
resolvent operator technique associated with
$(A,eta)$-monotonicity, the existence and approximation
solvability of solutions using an iterative algorithm and fixed
pint theory is investigated.