Generalized Eckstein-Bertsekas proximal point algorithm involving (H,η)-monotonicity framework

Authors:
Ram U. Verma
Affiliations:
Department of Mathematics, University of Central Florida, Orlando, FL 32816, USA
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2007

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Abstract

A general framework for the Eckstein-Bertsekas proximal point algorithm, based on the notion of (H,@h)-monotonicity, is developed. Convergence analysis for the generalized Eckstein-Bertsekas proximal point algorithm in the context of solving a class of nonlinear inclusions is examined. Furthermore, some results on general firm nonexpansiveness and resolvent mapping corresponding to (H,@h)-monotonicity are given.