Results 11 to 20 of about 88 (74)
A Class of Novel Mann-Type Subgradient Extragradient Algorithms for Solving Quasimonotone Variational Inequalities [PDF]
, 2021 Symmetries play an important role in the dynamics of physical systems. As an example, quantum physics and microworld are the basis of symmetry principles. These problems are reduced to solving inequalities in general.
Nopparat Wairojjana +4 more
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A Forward‐Backward‐Forward Algorithm for Solving Quasimonotone Variational Inequalities
Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022 In this paper, we continue to investigate the convergence analysis of Tseng‐type forward‐backward‐forward algorithms for solving quasimonotone variational inequalities in Hilbert spaces. We use a self‐adaptive technique to update the step sizes without prior knowledge of the Lipschitz constant of quasimonotone operators.
Tzu-Chien Yin +2 more
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Discrete Dynamics in Nature and Society, Volume 2021, Issue 1, 2021., 2021 Roguing and replanting are the most common strategies to control plant diseases and pests. How to build the mathematical models of plant virus transmission and consider the impact of roguing and replanting strategies on plant virus eradication is of great practical significance.
Guangming Qiu +3 more
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Quasimonotone versus pseudomonotone [PDF]
, 1996 Under some natural hypotheses, we show that if the (Nemitsky-) operator associated with an elliptic system is pseudomonotone, then the system has to be quasimonotone.
Rüdiger Landes
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Refinements of existence results for relaxed quasimonotone equilibrium problems [PDF]
, 2013 We consider a general equilibrium problem in a normed vector space setting and we establish sufficient conditions for the existence of solutions in compact and non compact cases. Our approach is based on the concept of upper sign.
GIULI, MASSIMILIANO, CASTELLANI, MARCO
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Discrete Dynamics in Nature and Society, Volume 2019, Issue 1, 2019., 2019 In this work, a diffusive Leslie‐Gower predator‐prey model with additive Allee effect on prey under a homogeneous Neumann boundary condition is reconsidered. We establish new sufficient conditions for the global stability of the unique positive equilibrium point of the system by using the comparison method rather than the Lyapunov function method.
Liu Yang, Yukihiko Nakata
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Rapid Convergence for Telegraph Systems with Periodic Boundary Conditions
Journal of Function Spaces, Volume 2017, Issue 1, 2017., 2017 The generalized quasilinearization method is applied in this paper to a telegraph system with periodic boundary conditions. We consider the case in which the forcing function F(t, x, U) satisfies the following condition: ∂n−1F(t, x, U)/∂Un−1 exists and is quasimonotone nondecreasing or nonincreasing.
Peiguang Wang, Xiang Liu, Xinguang Zhang
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Abstract and Applied Analysis, Volume 2017, Issue 1, 2017., 2017 Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ be maximal monotone, S:X→2X⁎ be bounded and of type (S+), and C : D(C) → X⁎ be compact with D(T)⊆D(C) such that C lies in Γστ (i.e., there exist σ ≥ 0 and τ ≥ 0 such that ‖Cx‖ ≤ τ‖x‖ + σ for all x ∈ D(C)).
Teffera M. Asfaw, Stanislaw Migorski
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Generalized Nash equilibrium problems, bilevel programming and mpec [PDF]
, 2017 The book discusses three classes of problems: the generalized Nash equilibrium problems, the bilevel problems and the mathematical programming with equilibrium constraints (MPEC).
Lalitha, CS, Aussel, Didier
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Analysis of Spatiotemporal Dynamic and Bifurcation in a Wetland Ecosystem
Discrete Dynamics in Nature and Society, Volume 2015, Issue 1, 2015., 2015 A wetland ecosystem is studied theoretically and numerically to reveal the rules of dynamics which can be quite accurate to better describe the observed spatial regularity of tussock vegetation. Mathematical theoretical works mainly investigate the stability of constant steady states, the existence of nonconstant steady states, and bifurcation, which ...
Yi Wang +7 more
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