Transactions of the New York Academy of SciencesVincent J. Mancuso
The reasons for the similarity are traced back to conditions in the fishery.doi:10.1016/0022-247X(81)90231-6Athanassios G KartsatosElsevier Inc.Journal of Mathematical Analysis & ApplicationsA. G. Kartsatos, Some mapping theorems for accretive operators in Banach spaces , to appear....
Now by open mapping theorem is an open map. Since G is distal, is one-one. This implies that is an isomorphism and = ! ?1 K . This proves the theorem. 1 1 n 1 1 1 1 1 1 1 1 1 ( ) Proof (of Theorem 2) Let G be a distal group. Let (xn ) be a sequence in G and...
Suppose that Mt,ρ is defined as in (2.3) and the mapping s↦ϕ(s)s satisfies the condition (1.11). Then, there exists a positive constant C>0 such that, for all f∈Lp,ϕ(μ) , ‖Mt,ρf‖Lp,ϕ(μ)≤C‖f‖Lp,ϕ(μ). 3 Proof of Theorems 1.9–1.12 Proof of ...
Generalized KKM-type theorems for weakly generalized KKM mapping with some applicationsdoi:10.1007/s10255-008-8283-7Weakly generalized KKM mapping - Generalized KKM-type theorem - Weakly generalized diagonally quasi-convex - (W
In this paper, we introduce the notion of quadratic quasicontractive mapping and prove two generalizations of some classical fixed point theorems. Furthermore, we present some examples to support our main results. Keywords: fixed point; Edelstein’s theorem; Greguš’s theorem 1...
MAPPING. This term is a translation of the German Abbildung (illustration, drawing, map, etc.) whose use as a mathematical term can be traced back to Riemann and Klein.The term—in German and then English—was originally confined to geometry as e.g. by F. Morley “On the Geometry Whose...
Darbo [2], using this measure, generalized both the classical Schauder fixed point principle and (a special variant of) Banach’s contraction mapping principle for so called condensing operators. The Hausdorff measure of noncompactness χ was introduced by Goldenstein et al. [3] in 1957. ...
A general fixed point theorem for isometries in terms of metric functionals is proved under the assumption of the existence of a conical bicombing. It is n
In this text, we consider Gärdenfors’ conceptual spaces that are separable Hilbert spaces. In particular, the results we obtained apply to finit