Results 1 to 10 of about 88 (86)

Quadratic convergence of monotone iterates for semilinear elliptic obstacle problems [PDF]

Journal of Inequalities and Applications, 2017
In this paper, we consider the numerical solution for the discretization of semilinear elliptic complementarity problems. A monotone algorithm is established based on the upper and lower solutions of the problem.
Jinping Zeng, Haowen Chen, Hongru Xu
doaj   +2 more sources

The exactness of the ℓ1 penalty function for a class of mathematical programs with generalized complementarity constraints [PDF]

Fundamental Research
In a mathematical program with generalized complementarity constraints (MPGCC), complementarity relation is imposed between each pair of variable blocks.
Yukuan Hu, Xin Liu
doaj   +2 more sources

Inertial shrinking projection algorithm with self-adaptive step size for split generalized equilibrium and fixed point problems for a countable family of nonexpansive multivalued mappings

Demonstratio Mathematica, 2021
In this paper, we introduce a shrinking projection method of an inertial type with self-adaptive step size for finding a common element of the set of solutions of a split generalized equilibrium problem and the set of common fixed points of a countable ...
Olona Musa A., Alakoya Timilehin O., Owolabi Abd-semii O.-E., Mewomo Oluwatosin T.   +3 more
doaj   +1 more source

Reproducibility of serum testing for environmental allergen‐specific IgE in dogs in Europe

Veterinary Dermatology, Volume 32, Issue 3, Page 251-e67, June 2021., 2021
Background – Serum testing for allergen‐specific immunoglobulin (Ig)E is commonly employed to identify allergens used for allergen‐specific immunotherapy in dogs, yet the reliability of results has been a matter of debate. Objective – The aim of this study was to evaluate the reproducibility of serum tests for environmental allergen‐specific IgE in ...
Katja N. Baumann, Natalie K.Y. Gedon, Teresa M.S.A. Boehm, Laura Udraite‐Vovk, Ralf S. Mueller   +4 more
wiley   +1 more source

On the convergence of two-step modulus-based matrix splitting iteration method

Open Mathematics, 2021
In this paper, based on the relationship between the linear complementarity problem and its reformulated fixed-point equation, we discuss the conditions of the modulus-based type iteration methods. Moreover, we present some convergence results on the two-
Fang Ximing, Fu Shouzhong, Gu Ze
doaj   +1 more source

Well-posedness for bilevel vector equilibrium problems with variable domination structures

Open Mathematics, 2023
In this article, well-posedness for two types of bilevel vector equilibrium problems with variable domination structures are introduced and studied. With the help of cosmically upper continuity or Hausdorff upper semi-continuity for variable domination ...
Xu Yu-ping, Wang San-hua, Li Qiu-ying, Lu Bing-yi   +3 more
doaj   +1 more source

Relations between Abs-Normal NLPs and MPCCs. Part 1: Strong Constraint Qualifications [PDF]

Journal of Nonsmooth Analysis and Optimization, 2021
This work is part of an ongoing effort of comparing non-smooth optimization problems in abs-normal form to MPCCs. We study the general abs-normal NLP with equality and inequality constraints in relation to an equivalent MPCC reformulation.
Lisa C. Hegerhorst-Schultchen, Christian Kirches, Marc C. Steinbach   +2 more
doaj   +1 more source

A self-adaptive inertial extragradient method for a class of split pseudomonotone variational inequality problems

Open Mathematics, 2023
In this article, we study a class of pseudomonotone split variational inequality problems (VIPs) with non-Lipschitz operator. We propose a new inertial extragradient method with self-adaptive step sizes for finding the solution to the aforementioned ...
Owolabi Abd-Semii Oluwatosin-Enitan, Alakoya Timilehin Opeyemi, Mewomo Oluwatosin Temitope   +2 more
doaj   +1 more source

A new elementary proof for M-stationarity under MPCC-GCQ for mathematical programs with complementarity constraints [PDF]

Journal of Nonsmooth Analysis and Optimization, 2021
It is known in the literature that local minimizers of mathematical programs with complementarity constraints (MPCCs) are so-called M-stationary points, if a weak MPCC-tailored Guignard constraint qualification (called MPCC-GCQ) holds.
Felix Harder
doaj   +1 more source

On implicit variables in optimization theory [PDF]

Journal of Nonsmooth Analysis and Optimization, 2021
Implicit variables of a mathematical program are variables which do not need to be optimized but are used to model feasibility conditions. They frequently appear in several different problem classes of optimization theory comprising bilevel programming ...
Matúš Benko, Patrick Mehlitz
doaj   +1 more source