Results 261 to 270 of about 3,346 (295)
Some of the next articles are maybe not open access.
On monotone and quasicompact mappings
Israel Journal of Mathematics, 1971In this paper, some properties of monotone mappings and quasi-compact mappings have been studied.
Singal, M. K., Deb, Mamata
openaire +2 more sources
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
Asymptotic Properties of Monotonic Nonexpansive Mappings
Discrete Event Dynamic Systems, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Monotonically Controlled Mappings
Canadian Journal of Mathematics, 2011AbstractWe study classes of mappings between finite and infinite dimensional Banach spaces that are monotone and mappings which are differences of monotone mappings (DM). We prove a Radó–Reichelderfer estimate for monotone mappings in finite dimensional spaces that remains valid for DM mappings.
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
Properties of monotone mappings
Lithuanian Mathematical Journal, 1983A map u, defined on a set \(D(u)\subseteq {\mathbb{R}}^ d\) with values in \({\mathbb{R}}^ d\) is called monotone, if \[ \geq 0,\quad \forall x,y\in D(u). \] In the article, the usual questions of function theory are studied, as convergence, measurability, integrability, differentiability, transformation of size of monotone operators. In particular, it
openaire +1 more source
2018
Throughout this monograph the following conventions are adopted: The circle is represented as the quotient \({\mathbb T} = {\mathbb R}/{\mathbb Z}\). \(\pi : {\mathbb R} \to {\mathbb T}\) is the canonical projection. Three or more distinct points \(t_1, t_2, \ldots , t_k \in {\mathbb T}\) are in positive cyclic order if there are ...
openaire +1 more source
Throughout this monograph the following conventions are adopted: The circle is represented as the quotient \({\mathbb T} = {\mathbb R}/{\mathbb Z}\). \(\pi : {\mathbb R} \to {\mathbb T}\) is the canonical projection. Three or more distinct points \(t_1, t_2, \ldots , t_k \in {\mathbb T}\) are in positive cyclic order if there are ...
openaire +1 more source
Summary: The author discusses the conditions for a proper mapping in a domain \(D\) to be monotonic using the notion of local degree of proper mappings of generalized manifolds.
openaire +2 more sources
openaire +2 more sources
1990
The logical structure of this chapter is represented in Figures 32.1 and 32.2. The key to our approach is the main theorem on pseudomonotone perturbations of maximal monotone mappings due to Browder (1968) (Theorem 32. A in Section 32.4). This theorem will be proved via the Galerkin method.
openaire +1 more source
The logical structure of this chapter is represented in Figures 32.1 and 32.2. The key to our approach is the main theorem on pseudomonotone perturbations of maximal monotone mappings due to Browder (1968) (Theorem 32. A in Section 32.4). This theorem will be proved via the Galerkin method.
openaire +1 more source
1990
In this chapter we shall present various results on nonlinear monotone mappings in Banach spaces, pointing out further properties of duality mappings. Applications are made to some nonlinear functional equations.
openaire +1 more source
In this chapter we shall present various results on nonlinear monotone mappings in Banach spaces, pointing out further properties of duality mappings. Applications are made to some nonlinear functional equations.
openaire +1 more source