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1. A Proximal Analytic Center Cutting Plane Algorithm for Solving Variational Inequality Problems.

Author

Jie Shen and Pang, Li-Ping

Subjects
ALGORITHMS, VARIATIONAL inequalities (Mathematics), MATHEMATICAL mappings, APPROXIMATION theory, STOCHASTIC convergence, PROBLEM solving, MATHEMATICAL analysis
Abstract

Under the condition that the values of mapping F are evaluated approximately, we propose a proximal analytic center cutting plane algorithm for solving variational inequalities. It can be considered as an approximation of the earlier cutting plane method, and the conditions we impose on the corresponding mappings are more relaxed. The convergence analysis for the proposed algorithm is also given at the end of this paper. [ABSTRACT FROM AUTHOR]

Published
2012
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2. Approximation of Solutions of an Equilibrium Problem in a Banach Space.

Author

Hecai Yuan and Guohong Shi

Subjects
APPROXIMATION theory, PROBLEM solving, BANACH spaces, ITERATIVE methods (Mathematics), ALGORITHMS, STOCHASTIC convergence, GRAPHICAL projection
Abstract

An equilibrium problem is investigated based on a hybrid projection iterative algorithm. Strong convergence theorems for solutions of the equilibrium problem are established in a strictly convex and uniformly smooth Banach space which also enjoys the Kadec-Klee property. [ABSTRACT FROM AUTHOR]

Published
2012
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