Results 271 to 280 of about 4,743 (301)
Some of the next articles are maybe not open access.
Generalized gradients of monotone type
Nonlinear Analysis: Theory, Methods & Applications, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
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
openaire +2 more sources
Generalized monotonicity and generalized convexity
Journal of Optimization Theory and Applications, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
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
openaire +1 more source
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
openaire +1 more source
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.
openaire +2 more sources
Pseudo-Monotonicity and Generalized Pseudo-Monotonicity
2021Z. Naniewicz, P. D. Panagiotopoulos
openaire +1 more source
Nine Kinds of Monotone and Generalized Monotone Maps
1994Monotonicity 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).
openaire +1 more source
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, 2021Miao-Kun Wang +2 more
exaly
Generalized monotonicity — a survey
1994Recently, several kinds of generalized monotone maps were introduced by Karamardian and the author. They play a role in complementarity problems and variational inequality problems and are related to generalized convex functions. Following a presentation of seven kinds of (generalized) monotone maps, various characterizations of differentiable and ...
openaire +1 more source
Criteria for Generalized Monotonicity
1998Characterizations of different kinds of generalized monotonicity are surveyed for the following subclasses of maps: affine maps, differentiable maps, locally Lipschitz maps.
openaire +1 more source