A hybrid proximal point algorithm based on the (A,η)(A,η)-maximal monotonicity framework

A general framework for a hybrid proximal point algorithm using the notion of (A,η)(A,η)-monotonicity is developed. Convergence analysis for this algorithm in the context of solving a class of nonlinear inclusion problems is explored along with some results on the resolvent operator corresponding to (A,η)(A,η)-monotonicity.