Results 21 to 30 of about 1,594 (145)
A Ky Fan minimax inequality for quasiequilibria on finite dimensional spaces [PDF]
, 2017 Several results concerning existence of solutions of a quasiequilibrium problem defined on a finite dimensional space are established. The proof of the first result is based on a Michael selection theorem for lower semicontinuous set-valued maps which ...
Castellani, Marco +2 more
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Optical vortices in dispersive nonlinear Kerr‐type media
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 18, Page 949-967, 2004., 2004 The applied method of slowly varying amplitudes gives us the possibility to reduce the nonlinear vector integrodifferential wave equation of the electrical and magnetic vector fields to the amplitude vector nonlinear differential equations. Using this approximation, different orders of dispersion of the linear and nonlinear susceptibility can be ...
Lubomir M. Kovachev
wiley +1 more source
Least Change Secant Update Methods for Nonlinear Complementarity Problem
Ingeniería y Ciencia, 2015 In this work, we introduce a family of Least Change Secant Update Methods for solving Nonlinear Complementarity Problems based on its reformulation as a nonsmooth system using the one-parametric class of nonlinear complementarity functions introduced by ...
Favián Arenas A +2 more
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A remark on a complementarity problem in Banach space
International Journal of Stochastic Analysis, Volume 2004, Issue 3, Page 283-285, 2004., 2004 We give a modified proof of the theorem given in an earlier paper of the author (1994).
Sudarsan Nanda
wiley +1 more source
A reduced space branch and bound algorithm for a class of sum of ratios problems
Open Mathematics, 2018 Sum of ratios problem occurs frequently in various areas of engineering practice and management science, but most solution methods for this kind of problem are often designed for determining local solutions .
Zhao Yingfeng, Zhao Ting
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International Journal of Stochastic Analysis, Volume 2004, Issue 3, Page 235-244, 2004., 2004 We consider a new class of equilibrium problems, known as hemiequilibrium problems. Using the auxiliary principle technique, we suggest and analyze a class of iterative algorithms for solving hemiequilibrium problems, the convergence of which requires either pseudomonotonicity or partially relaxed strong monotonicity. As a special case, we obtain a new
Muhammad Aslam Noor
wiley +1 more source
Positive Definiteness and Semi-Definiteness of Even Order Symmetric Cauchy Tensors [PDF]
, 2014 Motivated by symmetric Cauchy matrices, we define symmetric Cauchy tensors and their generating vectors in this paper. Hilbert tensors are symmetric Cauchy tensors.
Chen, Haibin, Qi, Liqun
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Journal of Applied Mathematics, Volume 2004, Issue 5, Page 409-431, 2004., 2004 We consider the problem of projecting a point onto a region defined by a linear equality or inequality constraint and two‐sided bounds on the variables. Such problems are interesting because they arise in various practical problems and as subproblems of gradient‐type methods for constrained optimization.
Stefan M. Stefanov
wiley +1 more source
Existence of solutions of minimization problems with an increasing cost function and porosity
Abstract and Applied Analysis, Volume 2003, Issue 11, Page 651-670, 2003., 2003 We consider the minimization problem f(x) → min, x ∈ K, where K is a closed subset of an ordered Banach space X and f belongs to a space of increasing lower semicontinuous functions on K. In our previous work, we showed that the complement of the set of all functions f, for which the corresponding minimization problem has a solution, is of the first ...
Alexander J. Zaslavski
wiley +1 more source
Pareto front approximation through a multi-objective augmented Lagrangian method
EURO Journal on Computational Optimization, 2021 In this manuscript, we consider smooth multi-objective optimization problems with convex constraints. We propose an extension of a multi-objective augmented Lagrangian Method from recent literature.
Guido Cocchi +2 more
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