Results 11 to 20 of about 7,869 (262)

A Generalized Sum-Difference Inequality and Applications to Partial Difference Equations

open access: yesAdvances in Difference Equations, 2008
We establish a general form of sum-difference inequality in two variables, which includes both two distinct nonlinear sums without an assumption of monotonicity and a nonconstant term outside the sums.
Wang Wu-Sheng
doaj   +2 more sources

On the study of a class of variational inequalities via Leray-Schauder degree

open access: yesFixed Point Theory and Applications, 2004
We present existence results for general variational inequalities without monotonicity or coercivity assumptions. It relies on a Leray-Schauder degree approach and provides additional information about the location of solutions.
V. V. Motreanu   +2 more
doaj   +2 more sources

Generalized Equilibrium Problem with Mixed Relaxed Monotonicity

open access: yesThe Scientific World Journal, 2014
We extend the concept of relaxed α-monotonicity to mixed relaxed α-β-monotonicity. The concept of mixed relaxed α-β-monotonicity is more general than many existing concepts of monotonicities.
Haider Abbas Rizvi   +2 more
doaj   +1 more source

Monotones in General Resource Theories

open access: yesCompositionality, 2023
A central problem in the study of resource theories is to find functions that are nonincreasing under resource conversions — termed monotones — in order to quantify resourcefulness. Various constructions of monotones appear in many different concrete resource theories. How general are these constructions? What are the necessary conditions on a resource
Tomás Gonda, Robert W. Spekkens
openaire   +3 more sources

TESTING GENERALIZED REGRESSION MONOTONICITY [PDF]

open access: yesEconometric Theory, 2018
We propose a test for a generalized regression monotonicity (GRM) hypothesis. The GRM hypothesis is the sharp testable implication of the monotonicity of certain latent structures, as we show in this article. Examples include the monotonicity of the conditional mean function when only interval data are available for the dependent variable and the ...
Hsu, Yu-Chin, Liu, Chu-An, Shi, Xiaoxia
openaire   +2 more sources

An Algorithm Based on Resolvant Operators for Solving Positively Semidefinite Variational Inequalities

open access: yesFixed Point Theory and Applications, 2007
A new monotonicity, M-monotonicity, is introduced, and the resolvant operator of an M-monotone operator is proved to be single-valued and Lipschitz continuous.
Juhe Sun, Shaowu Zhang, Liwei Zhang
doaj   +2 more sources

Strong Players and Stable Coalition Structures in PMAS Profit Game

open access: yesAxioms, 2022
In a non-negative profit game that possesses a Population Monotonic Allocation Scheme (PMAS), being a member of a larger coalition implies that your profit cannot decrease. In this paper, we refer to such games as PMAS profit games.
Ana Meca, Greys Sošić
doaj   +1 more source

Monotonic and Non-Monotonic Solution Concepts for Generalized Circuits

open access: yesCoRR, 2019
Generalized circuits are an important tool in the study of the computational complexity of equilibrium approximation problems. However, in this paper, we reveal that they have a conceptual flaw, namely that the solution concept is not monotonic. By this we mean that if $\varepsilon < \varepsilon'$, then an $\varepsilon$-approximate solution for a ...
Steffen Schuldenzucker, Sven Seuken
openaire   +2 more sources

On the generalized monotonicity of variational inequalities

open access: yesComputers & Mathematics with Applications, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Min-Ru Bai, Shu-Zi Zhou, Gu-Yan Ni
openaire   +2 more sources

On a Generalized Retarded Integral Inequality with Two Variables

open access: yesJournal of Inequalities and Applications, 2008
This paper improves Pachpatte's results on linear integral inequalities with two variables, and gives an estimation for a general form of nonlinear integral inequality with two variables. This paper does not require monotonicity of known functions.
Cai-Xia Shen, Wu-Sheng Wang
doaj   +2 more sources

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