Journal of Optimization Theory and Applications
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On the R0-Tensors and the Solution Map of Tensor Complementarity Problems
Journal of Optimization Theory and Applications - Tập 181 Số 1 - Trang 163-183 - 2019
Approximate solution of a class of singular control problems
Journal of Optimization Theory and Applications - Tập 13 - Trang 461-483 - 1974
A class of singular control problems involving amplitude constraints on the
controls is examined. IfL ∞ is the space of control functionsU, the control
constraint setS can be identified with the unit ball inL ∞. Now, for anyn ∈ (1,
∞), an analogous problem may be set up withL n forU and the unit ball inL n
forS. This modified problem is necessarily nonsingular for controllable systems.
It is shown...
Structural weight minimization using necessary and sufficient conditions
Journal of Optimization Theory and Applications - Tập 8 - Trang 454-466 - 1971
This paper considers problems of weight minimization of complex, determinate or
indeterminate structures, subject to inequality constraints. Limitations of size
of the structural members, allowable stresses, natural frequencies, etc.,
furnish constraints on the design. We are here principally concerned with the
theoretical determination of the necessary and sufficient conditions relating a
propose...
Minimization Algorithms Based on Supervisor and Searcher Cooperation
Journal of Optimization Theory and Applications - Tập 111 Số 2 - Trang 359-379 - 2001
Coordination of Advertising Strategies in a Fashion Licensing Contract
Journal of Optimization Theory and Applications - - 2009
Axiomatic approach in differential games
Journal of Optimization Theory and Applications - Tập 3 Số 3 - Trang 153-163 - 1969
Singular Normal Extremals and Conjugate Points for Bolza Functionals
Journal of Optimization Theory and Applications - Tập 115 - Trang 267-282 - 2002
In this paper, we study the problem of the optimal control for Bolza functionals
by investigating extremals containing singular arcs. We use the Moore–Penrose
generalized inverse, which allows one to determine normality criteria and
sufficient conditions for the nonexistence of conjugate points.
Performance Limits Analysis of Nonlinear Model Predictive Control Systems
Journal of Optimization Theory and Applications - Tập 168 - Trang 53-62 - 2015
This note provides a method to estimate the infinite-time performance of
nonlinear model predictive control schemes. Based on principle of optimality,
the upper and lower bounds of the ratio between the costs of model predictive
control and finite-horizon optimal control are obtained.
On Convergence Results for Weak Efficiency in Vector Optimization Problems with Equilibrium Constraints
Journal of Optimization Theory and Applications - Tập 133 - Trang 117-121 - 2007
In this note, we prove that the convergence results for vector optimization
problems with equilibrium constraints presented in Wu and Cheng (J. Optim.
Theory Appl. 125, 453–472, 2005) are not correct. Actually, we show that results
of this type cannot be established at all. This is due to the possible lack,
even under nice assumptions, of lower convergence of the solution map for
equilibrium probl...
On Modified Halpern and Tikhonov–Mann Iterations
Journal of Optimization Theory and Applications - Tập 197 - Trang 233-251 - 2023
We show that the asymptotic regularity and the strong convergence of the
modified Halpern iteration due to T.-H. Kim and H.-K. Xu and studied further by
A. Cuntavenapit and B. Panyanak and the Tikhonov–Mann iteration introduced by H.
Cheval and L. Leuştean as a generalization of an iteration due to Y. Yao et al.
that has recently been studied by Boţ et al. can be reduced to each other in
general g...
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