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121.
The paper gives necessary and sufficient conditions for a set-valued map F between Banach spaces X and Y to be convex with respect to a convex cone KY These conditions are written in terms of the contingent derivative of the map
相似文献
122.
On some inequalities for the gamma and psi functions 总被引:12,自引:0,他引:12
Horst Alzer. 《Mathematics of Computation》1997,66(217):373-389
We present new inequalities for the gamma and psi functions, and we provide new classes of completely monotonic, star-shaped, and super-additive functions which are related to and .
123.
《Optimization》2012,61(4):753-760
We consider a class of non-linear problems which is intermediate between equilibrium and variational inequality ones and has many applications. Unlike the usual variational inequality it involves two non-linear mappings, which need not be differentiable. We propose a class of iterative methods for this problem, which converge to a solution under weakened monotonicity type assumptions. This method is simpler essentially in comparison with those for the corresponding non-linear equilibrium problems. 相似文献
124.
《Set-Valued Analysis》2008,16(2-3):307-318
In this paper we study a class of closed convex sets introduced recently by Ernst et al. (J Funct Anal 223:179–203, 2005) and called by these authors slice-continuous sets. This class, which plays an important role in the strong separation of
convex sets, coincides in ℝ
n
with the well known class of continuous sets defined by Gale and Klee in the 1960s. In this article we achieve, in the setting
of reflexive Banach spaces, two new characterizations of slice-continuous sets, similar to those provided for continuous sets
in ℝ
n
by Gale and Klee. Thus, we prove that a slice-continuous set is precisely a closed and convex set which does not possess
neither boundary rays, nor flat asymptotes of any dimension. Moreover, a slice-continuous set may also be characterized as
being a closed and convex set of non-void interior for which the support function is continuous except at the origin.
Dedicated to Boris Mordukhovich in honour of his 60th birthday. 相似文献
125.
Enrique Miranda Gert de Cooman Erik Quaeghebeur 《Journal of Theoretical Probability》2007,20(3):663-693
We investigate to what extent finitely additive probability measures on the unit interval are determined by their moment sequence.
We do this by studying the lower envelope of all finitely additive probability measures with a given moment sequence. Our
investigation leads to several elegant expressions for this lower envelope, and it allows us to conclude that the information
provided by the moments is equivalent to the one given by the associated lower and upper distribution functions. 相似文献
126.
We use the finite dimensional monotonicity methods in order to investigate problems connected with the discrete -Laplacian on simple, connected, undirected, weighted, and finite graphs with nonlinearities given in a non-potential form. Positive solutions are also considered. 相似文献
127.
We present characterizations of some generalized convexity properties of functions with the help of a general subdifferential. We stress the case of lower semicontinuous functions. We also study the important case of marginal functions and we provide representation results. 相似文献
128.
129.
130.
Sneha Chaubey K. Paolina Koutsaki Alexandru Zaharescu 《Mathematische Nachrichten》2019,292(6):1238-1245
We present some monotonicity results for a class of Dirichlet series generalizing previously known results. The fact that is in that class presents a first example of an arithmetic function for which the associated Dirichlet series is completely monotonic, but not logarithmically completely monotonic. Lastly, we use similar techniques to prove another formulation of the Riemann hypothesis for the L‐function associated to the Ramanujan‐tau function. 相似文献