The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 53-536
Full Name: Ram Verma
Position: Assistant Professor
Age: ON
Sex: Male
Address: 3400 S Brahma Blvd, Suite 31 B, Kingsville, TX 78363
Country: UNITED STATES
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E-mail address: verma99@msn.com
Other E-mails: ram.verma@tamuk.edu
Title of the Paper: Relatively relaxed proximal pint algorithms for generalized maximal monotone mappings and Douglas-Rachford splitting methods
Authors as they appear in the Paper: Ram U. Verma
Email addresses of all the authors: verma99@msn.com
Number of paper pages: 20
Abstract: Based on the notion of relatively maximal relaxed monotonicity, the approximation solvability of a general class of inclusion problems is explored, while generalizing most of the investigations on weak convergence using the proximal point algorithm in a real Hilbert space setting. A well-known method of multipliers for constrained convex programming turns out to be a special case of the proximal point algorithm. Furthermore, we observe that the Douglas-Rachford splitting method for finding the zero of the sum of two monotone operators as a spacial case of the proximal point algorithm as well. This allows a further generalization and unification of a wide range of convex programming algorithms.
Keywords: Variational inclusion problems, maximal monotone mapping, relatively maximal monotone mapping, generalized resolvents.
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How Did you learn about congress: Calculus of variations, math programming, optimization theoryt
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