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Duality for Equilibrium Problems under Generalized Monotonicity [PDF]

Journal of Optimization Theory and Applications, 2000
Duality is studied for an abstract equilibrium problem which includes, among others, optimization problems and variational inequality problems. Following different schemes, various duals are proposed and primal-dual relationships are established under ...
S Schaible, Schaible S, I V Konnov
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Characterizations of generalized monotone maps

Journal of Optimization Theory and Applications, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Karamardian, S., Schaible, S., Crouzeix, J. P.   +2 more
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Colorings generated by monotone properties

Random Structures and Algorithms, 1998
Let \(Q\) be some graph property and let \(G\) with \(| V_G| =n\) be a graph satisfying the property \(Q\). Color the edges of \(G\) black and color an edge \(e\) of the complement of \(G\) red if \(G+e\) satisfies the property \(Q\) and blue otherwise.
Béla Bollobás, Oliver Riordan
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Generalized monotonically T2 spaces

Acta Mathematica Hungarica, 2020
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Criteria for generalized invex monotonicities

European Journal of Operational Research, 2005
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Xinmin Yang 0001, X. Q. Yang, Kok Lay Teo   +2 more
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Generalized global monotonicity of generalized derivatives

International Transactions in Operational Research, 1994
The gradient and the several kinds of its generalizations provide a very efficient tool in characterizing important properties of functions. Convexity and generalized convexity, which are central properties in many branches of Operational Research, can also be characterized by special properties (monotonicity and generalized monotonicity) of the ...
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Limitwise Monotonic Spectra and Their Generalizations

2021
The current work studies the limitwise monotonic spectra introduced by Downey, Kach and Turetsky [6]. In the first part of the paper, we study the limitwise monotonic spectra of subsets and sequences of subsets of \(\mathbb N\). In particular, we study their measure-theoretical and topological properties.
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Monotonicity of the Generalized Reduced Module

Journal of Mathematical Sciences, 2003
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On Generating All Optimal Monotone Classifications

2011 IEEE 11th International Conference on Data Mining, 2011
In many applications of data mining one knows beforehand that the response variable should be monotone (either increasing or decreasing) in the attributes. In ordinal classification, changing the class labels of a data set (relabeling) so that the data becomes monotone, is useful for at least two reasons.
Stegeman, L., Feelders, A.J.
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Centers of Monotone Generalized Complementarity Problems

Mathematics of Operations Research, 1997
Let C be a full dimensional, closed, pointed and convex cone in a finite dimensional real vector space ℰ with an inner product 〈x, y〉 of x, y ∈ ℰ, and ℳ a maximal monotone subset of ℰ × ℰ. This paper studies the existence and continuity of centers of the monotone generalized complementarity problem associated with C and ℳ: Find (x, y) ∈ ℳ ∩ (C × C ...
Masayuki Shida, Susumu Shindoh, Masakazu Kojima   +2 more
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