Results 1 to 10 of about 46 (43)
On Maximality of Quasimonotone Operators [PDF]
Set-Valued and Variational Analysis, 2017 We introduce the notion of quasimonotone polar of a multivalued operator, in a similar way as the well-known monotone polar due to Martinez-Legaz and Svaiter. We first recover several properties similar to the monotone polar, including a characterization in terms of normal cones.
Orestes Bueno +2 more
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Demonstratio Mathematica, 2023 The primary goal of this research is to investigate the approximate numerical solution of variational inequalities using quasimonotone operators in infinite-dimensional real Hilbert spaces.
Rehman Habib ur +4 more
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Monotone iterative technique for time-space fractional diffusion equations involving delay
Nonlinear Analysis, 2021 This paper considers the initial boundary value problem for the time-space fractional delayed diffusion equation with fractional Laplacian. By using the semigroup theory of operators and the monotone iterative technique, the existence and uniqueness of ...
Qiang Li, Guotao Wang, Mei Wei
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A Self-Adaptive Extragradient Algorithm for Solving Quasimonotone Variational Inequalities
Journal of Function Spaces, 2022 This article aims to research iterative schemes for searching a solution of a quasimonotone variational inequality in a Hilbert space. For solving this quasimonotone variational inequality, we propose an iterative procedure which combines a self-adaptive
Li-Jun Zhu, Tzu-Chien Yin
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An Iterative Algorithm for Solving Fixed Point Problems and Quasimonotone Variational Inequalities
Journal of Mathematics, 2022 In this paper, we survey a common problem of the fixed point problem and the quasimonotone variational inequality problem in Hilbert spaces. We suggest an iterative algorithm for finding a common element of the solution of a quasimonotone variational ...
Tzu-Chien Yin +2 more
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Relaxed Quasimonotone Operators and Relaxed Quasiconvex Functions [PDF]
Journal of Optimization Theory and Applications, 2008 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bai, M. R., Hadjisavvas, N.
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Journal of Inequalities and Applications, 2023 In this article, we introduce an inertial-type algorithm that combines the extragradient subgradient method, the projection contraction method, and the viscosity method.
Austine Efut Ofem +4 more
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Decreasing flow invariant sets and fixed points of quasimonotone increasing operators [PDF]
Proceedings of the American Mathematical Society, 2001 In this paper, we obtain some new results about the existence of multiple fixed points of a kind of quasimonotone increasing operator by the new method of decreasing flow invariant set.
Sun, Jingxian, Xu, Xi'an
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On solvability of mixed monotone operator equations with applications to mixed quasimonotone differential systems involving discontinuities [PDF]
International Journal of Stochastic Analysis, 1991 In this paper we shall first study solvability of mixed monotone systems of operator equations in an ordered normed space by using a generalized iteration method. The obtained results are then applied to prove existence of coupled extremal quasisolutions of the systems of first and second order mixed quasimonotone differential equations with ...
Heikkilä, S. +2 more
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Journal of Optimization, Differential Equations and Their ApplicationsIn this paper, we introduce and study a modified inertial subgradient extragradient iterative algorithm for solving bilevel split quasimonotone variational inequality problems with a fixed point constraint of demimetric mappings in the framework of real ...
J. A. Abuchu +4 more
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