A Cutting Hyperplane Method for Generalized Monotone Nonlipschitzian Multivalued Variational Inequalities

Pham Ngoc Anh () and Takahito Kuno ()
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Pham Ngoc Anh: Posts and Telecommunications Institute of Technology, Department of Scientific Fundamentals
Takahito Kuno: University of Tsukuba, Graduate School of Systems and Information Engineering

A chapter in Modeling, Simulation and Optimization of Complex Processes, 2012, pp 1-11 from Springer

Abstract: Abstract We present a new method for solving multivalued variational inequalities, where the underlying function is upper semicontinuous and satisfies a certain generalized monotone assumption. First, we construct an appropriate hyperplane which separates the current iterative point from the solution set. Then the next iterate is obtained as the projection of the current iterate onto the intersection of the feasible set with the halfspace containing the solution set. We also analyze the global convergence of the algorithm under minimal assumptions.

Keywords: Multivalued variational inequalities; Generalized monotone; Upper semicontinuous (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-25707-0_1

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DOI: 10.1007/978-3-642-25707-0_1

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