Results 211 to 220 of about 370 (245)
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About the Maximal Monotonicity of the Generalized Sum of Two Maximal Monotone Operators
Set-Valued and Variational Analysis, 2011In this paper, the authors present some regularity conditions to ensure the maximal mo\-no\-to\-ni\-ci\-ty of the generalized sum of two strongly-representable monotone operators of closedness and interior point type. The obtained theorems extend some recent results.
László, Szilárd +1 more
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Variational Inequalities with Generalized Monotone Operators
Mathematics of Operations Research, 1994We investigate the variational inequality with pseudomonotone operators (in the sense of Karamardian) in Banach spaces. New existence results which extend many known results in infinite-dimensional spaces are derived under rather weak assumptions. New uniqueness results which also seem to be new even in finite-dimensional spaces are also derived.
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On preimages of a class of generalized monotone operators
Nonlinear Analysis: Theory, Methods & Applications, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kassay, Gábor, Pintea, Cornel
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On a generalization of the method of monotone operators
Differential Equations, 2013The author proves a theorem concerning the solvability and uniform estimate of the solution in the norm of the space for a operator equation in a reflexive Banach space. The case considered is of a nonlinear nonmonotone hemicontinuous operator and the method is related (with some differences) to the method of semimonotone operators.
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On construction of generalized non monotone fuzzy operators
Proceedings of IEEE International Conference on Intelligent Engineering Systems, 2002In this paper the concept and two classes of nonmonotone fuzzy operators are introduced. The nonmonotone so called W-operators are constructed from any associated T-norm and T-conorm. Using the concept of elementary entropy function minimum and maximum fuzziness generalized operators are introduced.
A. Szeghegyi, A. Rudas, J.K. Tar
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On generalized cyclically monotone operators and proper quasimonotonictty
Optimization, 2000In this paper we consider an abstract subdifferential that fulfills a prioria weak type of a mean value property. We survey and extend some recent results connecting the gener-alized convexity of nonsmooth functions with the generalized cyclic monotonidty of their subdifferentials. It is shown that, for a large class of subdifferentials, a Isc function
Aris Danilidis, Nicolas Hadjisavvas
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General Projective Splitting Methods for Sums of Maximal Monotone Operators
SIAM Journal on Control and Optimization, 2009We describe a general projective framework for finding a zero of the sum of n maximal monotone operators over a real Hilbert space. Unlike prior methods for this problem, we neither assume $n=2$ nor first reduce the problem to the case $n=2$. Our analysis defines a closed convex extended solution set for which we can construct a separating hyperplane ...
Jonathan Eckstein, Benar Fux Svaiter
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Monotonicity properties of operations on generalized topologies
Acta Mathematica Hungarica, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized Monotone Operators, Generalized Convex Functions and Closed Countable Sets
Journal of Convex Analysis, 2011We deal with operators which are monotone in several generalized sense. We show that if such property holds locally on the complement of a certain type of closed set, then the same property holds globally on the whole domain under some mild conditions.
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Generalized monotonicity of a separable product of operators: The multivalued case
Set-Valued Analysis, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Crouzeix, J. P., Hassouni, A.
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