We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Role of Relative A-Maximal Monotonicity in Overrelaxed Proximal-Point Algorithms with Applications.
- Authors
Agarwal, R. P.; Verma, R. U.
- Abstract
A general framework for a class of overrelaxed proximal point algorithms based on the notion of relative A-maximal monotonicity is introduced; then, the convergence analysis for solving a general class of nonlinear variational inclusion problems is explored. The framework developed in this communication is quite suitable, unlike other existing notions of generalized maximal monotonicity, including A-maximal ( m)-relaxed monotonicity in literature, to generalize first-order nonlinear evolution equations/evolution inclusions based on the generalized nonlinear Yosida approximations in Hilbert spaces as well as in Banach spaces.
- Subjects
BASES (Linear topological spaces); VECTOR topology; COMPLEX variables; GENERALIZED spaces; HYPERSPACE; ALGORITHMS
- Publication
Journal of Optimization Theory & Applications, 2009, Vol 143, Issue 1, p1
- ISSN
0022-3239
- Publication type
Article
- DOI
10.1007/s10957-009-9554-z