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Mathematika, ISSN 0025-5793, 01/2014, Volume 60, Issue 1, pp. 101 - 107
Journal Article
Set-Valued and Variational Analysis, ISSN 1877-0533, 6/2012, Volume 20, Issue 2, pp. 307 - 330
We propose a primal-dual splitting algorithm for solving monotone inclusions involving a mixture of sums, linear compositions, and parallel sums of set-valued... 
Monotone inclusion | Nonsmooth convex optimization | Mathematics | Maximal monotone operator | Geometry | 90C25 | Analysis | Splitting algorithm | 49M29 | 49M27 | 49N15 | Parallel sum | 47H05 | Set-valued duality | MATHEMATICS, APPLIED | STABILITY | DECOMPOSITION | PROXIMAL POINT ALGORITHM | VARIATIONAL-INEQUALITIES | RECOVERY | MINIMIZATION | MAPPINGS | Algorithms | Optimization and Control
Journal Article
Arabian Journal of Mathematics, ISSN 2193-5343, 9/2016, Volume 5, Issue 3, pp. 159 - 175
In this paper, we introduce a cyclic subgradient extragradient algorithm and its modified form for finding a solution of a system of equilibrium problems for a... 
Mathematics, general | Mathematics | 47H05 | 47J25 | 65J15 | 91B50
Journal Article
Journal of the Australian Mathematical Society, ISSN 1446-7887, 2019, pp. 1 - 23
Journal Article
1998, Grundlehren der mathematischen Wissenschaften, ISBN 9783540627722, Volume 317, xiii, 733
Book
Applicable Analysis, ISSN 0003-6811, 10/2019, Volume 98, Issue 13, pp. 2423 - 2439
In this paper, we revisit the numerical approach to variational inequality problems involving strongly monotone and Lipschitz continuous operators by a variant... 
strongly monotone operator | Projection method | Variational inequality | 47H05 | 47J25 | 65J15 | 65Y05 | Lipschitz continuity | 91B50 | Operators | Algorithms | Convergence
Journal Article
Archiv der Mathematik, ISSN 0003-889X, 8/2008, Volume 91, Issue 2, pp. 166 - 177
Journal Article
Advances in Nonlinear Analysis, ISSN 2191-9496, 02/2018, Volume 7, Issue 1, pp. 35 - 48
The paper is devoted to the Dirichlet problem for monotone, in general multivalued, elliptic equations with nonstandard growth condition. The growth conditions... 
35R70 | 35J60 | multivalued monotone operator | Nonstandard growth condition | monotone elliptic equation | 35J25 | 47H05 | MATHEMATICS | MATHEMATICS, APPLIED | SOBOLEV SPACES | EQUATIONS | HOMOGENIZATION
Journal Article
Journal of Optimization Theory and Applications, ISSN 0022-3239, 06/2019, Volume 181, Issue 3, pp. 709 - 726
The averaged alternating modified reflections algorithm is a projection method for finding the closest point in the intersection of closed and convex sets to a... 
Maximally monotone operator | Douglas–Rachford algorithm | Resolvent | Splitting method | Averaged alternating modified reflections algorithm | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | 65K05 | Douglas-Rachford algorithm | 47H05 | 47J25 | 47N10 | Computational geometry | Operators | Splitting | Hilbert space | Algorithms | Convexity
Journal Article
Journal of Optimization Theory and Applications, ISSN 0022-3239, 07/2019, Volume 182, Issue 1, pp. 110 - 132
Journal Article
Mathematische Nachrichten, ISSN 0025-584X, 10/2019, Volume 292, Issue 10, pp. 2108 - 2128
We consider strongly monotone continuous planar vector fields with a finite number of fixed points. The fixed points fall into three classes, attractors,... 
47H10 | planar map | strongly monotone map | 47H05 | fixed point | winding number
Journal Article
Optimization, ISSN 0233-1934, 11/2019, Volume 68, Issue 11, pp. 2071 - 2087
In this paper, we deal with three aspects of p-cyclically monotone operators. First, we introduce a notion of monotone polar adapted for p-cyclically monotone... 
linear p-cyclically monotone operators | Fitzpatrick functions of order p | 49J53 | Brézis-Browder theorem | p-cyclically monotone operators | 47H05 | 47H04 | Banach space | Linear operators
Journal Article
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, ISSN 0022-3239, 06/2019, Volume 181, Issue 3, pp. 864 - 882
We consider the regularization of two proximal point algorithms (PPA) with errors for a maximal monotone operator in a real Hilbert space, previously studied,... 
MATHEMATICS, APPLIED | 90C29 | Maximal monotone operator | Resolvent operator | Proximal point algorithm | ASYMPTOTIC-BEHAVIOR | Metric projection | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | 47H09 | 90C90 | Hilbert space | 47J25 | 47H05 | Theorems | Algorithms | Parameters | Error correction | Regularization | Optimization | Convergence
Journal Article
Journal of Global Optimization, ISSN 0925-5001, 6/2018, Volume 71, Issue 2, pp. 341 - 360
In this paper, first, we review the projection and contraction methods for solving the split feasibility problem (SFP), and then by using the inverse strongly... 
CQ method | Mathematics | Split feasibility problem | Optimization | Projection and contraction method | 54H25 | 47H10 | Operations Research/Decision Theory | 47H07 | Computer Science, general | 47H05 | Real Functions | Modified projection and contraction method | Inverse strongly monotone | Projection | Convexity | Mathematical analysis | Feasibility studies
Journal Article
Optimization, ISSN 0233-1934, 10/2019, Volume 68, Issue 10, pp. 1855 - 1880
We investigate a forward-backward splitting algorithm of penalty type with inertial effects for finding the zeros of the sum of a maximally monotone operator... 
Maximally monotone operator | convex bilevel optimization | 65K05 | Fitzpatrick function | 90C25 | forward-backward splitting algorithm | 47H05 | forward–backward splitting algorithm | Operators (mathematics) | Algorithms | Inclusions | Convergence | Ergodic processes
Journal Article
Numerical Algorithms, ISSN 1017-1398, 8/2018, Volume 78, Issue 4, pp. 1045 - 1060
Journal Article
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