IEEE Transactions on Cybernetics, Volume (47), No (10), Year (2017-10) , Pages (3050-3062)

Title : ( A Neurodynamic Model to Solve Non-linear Pseudo-Monotone Projection Equation and Its Applications )

Authors: mohammad eshaghnezhad , Sohrab Effati , Amin Mansoori ,

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Abstract: In this paper, a neurodynamic model is given to solve nonlinear pseudo-monotone projection equation. Under pseudo-monotonicity condition and Lipschitz continuous condition, the projection neurodynamic model is proved to be stable in the sense of Lyapunov, globally convergent, globally asymptotically stable, and globally exponentially stable. Also, we show that, our new neurodynamic model is effective to solve the nonconvex optimization problems. Moreover, since monotonicity is a special case of pseudo-monotonicity and also since a co-coercive mapping is Lipschitz continuous and monotone, and a strongly pseudo-monotone mapping is pseudo-monotone, the neurodynamic model can be applied to solve a broader classes of constrained optimization problems related to variational inequalities, pseudo-convex optimization problem, linear and nonlinear complementarity problems, and linear and convex quadratic programming problems. Finally, several illustrative examples are stated to demonstrate the effectiveness and efficiency of our new neurodynamic model.

Keywords

, pseudo-monotone projection equation, Global exponential stability, globally converges, Lyapunov stability, neurodynamic model, pseudo-convex and nonconvex optimization
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@article{paperid:1058601,
author = {Eshaghnezhad, Mohammad and Effati, Sohrab and Mansoori, Amin},
title = {A Neurodynamic Model to Solve Non-linear Pseudo-Monotone Projection Equation and Its Applications},
journal = {IEEE Transactions on Cybernetics},
year = {2017},
volume = {47},
number = {10},
month = {October},
issn = {2168-2267},
pages = {3050--3062},
numpages = {12},
keywords = {pseudo-monotone projection equation; Global exponential stability; globally converges; Lyapunov stability; neurodynamic model; pseudo-convex and nonconvex optimization problem},
}

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%0 Journal Article
%T A Neurodynamic Model to Solve Non-linear Pseudo-Monotone Projection Equation and Its Applications
%A Eshaghnezhad, Mohammad
%A Effati, Sohrab
%A Mansoori, Amin
%J IEEE Transactions on Cybernetics
%@ 2168-2267
%D 2017

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