Results 241 to 250 of about 31,120 (273)

Maximal Monotone Operators and Saddle Functions I

Zeitschrift für Analysis und ihre Anwendungen, 1986
We investigate the monotone operator T_K \subseteq E \times E^*, f \in T_Kx\colon = [–f, f] \in \partial K(x,x) , which is defined via the subdifferential of a concave-convex saddle function K
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Maximal Hyperclones Determined by Monotone Operations

2011 41st IEEE International Symposium on Multiple-Valued Logic, 2011
Let A be a finite set. It is well known that every bounded partial order relation determines a maximal clone on A and every non-trivial partial order relation determines a maximal partial clone on A. In this paper we describe a class of maximal hyper clones that are determined by bounded partial order relations on A.
Jelena Colic, Hajime Machida, Jovanka Pantovic   +2 more
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The $ G $-Convergence of Maximal Monotone Nemytskii Operators

Siberian Mathematical Journal, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Perturbations of regularizing maximal monotone operators

Israel Journal of Mathematics, 1982
We consideru′(t)+Au(t)∋f(t), whereA is maximal monotone in a Hilbert spaceH.
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Maximal monotone operators and maximal monotone functions for equilibrium problems

2008
This paper investigates relationships between the problem of finding a zero of a maximal monotone operator and the equilibrium problem. Given a bivariate function \(f\) associated with an equilibrium problem, and using results from [\textit{E. Blum} and \textit{W. Oettli}, Math. Stud. 63, No.
Koji Aoyama, Yasunori Kimura, Wataru Takahashi   +2 more
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Coderivatives of Maximal Monotone Operators

2018
In this chapter we employ the tools of variational analysis and generalized differentiation developed above to study global and local monotonicity of set-valued operators.
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Bundle Methods for Maximal Monotone Operators

1999
To find a zero of a maximal monotone operator T we use an enlargement T e playing the role of the e-subdifferential in nonsmooth optimization. We define a convergent and implementable algorithm which combines projection ideas with bundle-like techniques and a transportation formula.
Regina S. Burachik, Claudia Sagastizábal, B. F. Svaiter   +2 more
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Maximal Monotone Operators on Product Spaces

Nepal Journal of Mathematical Sciences
Let X and Y be real Banach ...
Biseswar Prashad Bhatt, Chet Raj Bhatta
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A Family of Enlargements of Maximal Monotone Operators

Set-Valued Analysis, 2000
The author introduces a family of enlargements of maximal monotone operators. He characterizes the biggest and the smallest enlargement belonging to this family and discusses some general properties of the members of a subfamily formally closer to the \(\varepsilon\)-subdifferential. He proves the existence of maximal elements.
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Maximal Monotone Operators in Banach Spaces

2009
In this chapter we present the basic theory of maximal monotone operators in reflexive Banach spaces along with its relationship and implications in convex analysis and existence theory of nonlinear elliptic boundary value problems. However, the latter field is not treated exhaustively but only from the perspective of its implications to nonlinear ...
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