GENERALIZED RELAXED PROXIMAL POINT ALGORITHMS INVOLVING RELATIVE MAXIMAL ACCRETIVE MODELS WITH APPLICATIONS IN BANACH SPACES

Title & Authors
GENERALIZED RELAXED PROXIMAL POINT ALGORITHMS INVOLVING RELATIVE MAXIMAL ACCRETIVE MODELS WITH APPLICATIONS IN BANACH SPACES
Verma, Ram U.;

Abstract
General models for the relaxed proximal point algorithm using the notion of relative maximal accretiveness (RMA) are developed, and then the convergence analysis for these models in the context of solving a general class of nonlinear inclusion problems differs significantly than that of Rockafellar (1976), where the local Lipschitz continuity at zero is adopted instead. Moreover, our approach not only generalizes convergence results to real Banach space settings, but also provides a suitable alternative to other problems arising from other related fields.
Keywords
variational inclusions;maximal relaxed accretive mapping;relative maximal accretive mapping;generalized resolvent operator;
Language
English
Cited by
1.
Graph convergence for the H(·,·)-accretive operator in Banach spaces with an application, Applied Mathematics and Computation, 2011, 217, 22, 9053
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