Results 241 to 250 of about 758,244 (273)
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Generalizations of monotonicity

1994
\textit{E. T. Copson} [Proc. Edinb. Math. Soc., II. Ser. 17, 159-164 (1970; Zbl 0223.40001)], showed that a bounded positive sequence \(\{a_ n\}\) satisfying \(a_{n+r}\leq \sum_{s=1}^ r k_ s a_{n+r-s}\), \(k_ s>0\), \(k_ 1+ \cdots+ k_ r =1\) \(\forall n\) is necessarily convergent. \textit{C. Rossi} [Monotonia alle Copson e sue generalizzazioni.
FIOCCHI, Cristina, ZANELLI, Vanna
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Generalized monotonicity and generalized convexity

Journal of Optimization Theory and Applications, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized Monotone Maps

2006
We first present nine kinds of (generalized) monotone maps and in case of gradient maps their counterpart of nine kinds of (generalized) convex functions. In addition we present topologically pseudomonotone maps. We then derive sufficient and/or necessary conditions for various kinds of generalized monotonicity for several subclasses of maps.
Nicolas Hadjisavvas, Siegfried Schaible
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Variational Inequalities with Generalized Monotone Operators

Mathematics of Operations Research, 1994
We 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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Nine Kinds of Monotone and Generalized Monotone Maps

1994
Monotonicity plays an important role in complementarity problems and variational inequality problems, like convexity in mathematical programming. Recently, seven kinds of monotone and generalized monotone maps were introduced; see Karamardian et al. (1990).
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A framework for generalized monotonicity of fusion functions

Information Fusion, 2023
Radko Mesiar   +2 more
exaly  

Criteria for Generalized Monotonicity

1998
Characterizations of different kinds of generalized monotonicity are surveyed for the following subclasses of maps: affine maps, differentiable maps, locally Lipschitz maps.
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Monotonicity and convexity involving generalized elliptic integral of the first kind

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2021
Miao-Kun Wang   +2 more
exaly  

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