Report of Meeting. The Fifteenth Katowice-Debrecen Winter Seminar, Będlewo (Poland), January 28–31, 2015
Journal Title: Annales Mathematicae Silesianae - Year 2015, Vol 29, Issue
Abstract
Report of Meeting. The Fifteenth Katowice-Debrecen Winter Seminar, Będlewo (Poland), January 28–31, 2015
Some problems in the Calculus of Variations
We present some results and open problems in the Calculus of Variations.
Inequalities of Lipschitz type for power series in Banach algebras
Let $f(z) = \sum_{n=0}^{\infty}\alpha_n z^n$ be a function defined by power series with complex coefficients and convergent on the open disk $D(0,R) \subset \mathbb{C}$, $R > 0$. For any $x, y \in \mathcal{B}$, a Banach...
A unique common fixed point for an infinity of set-valued maps
The main purpose of this paper is to establish some common fixed point theorems for single and set-valued maps in complete metric spaces, under contractive conditions by using minimal type commutativity and without conti...
Some new Ostrowski’s inequalities for functions whose nth derivatives are logarithmically convex
Some new Ostrowski’s inequalities for functions whose n-th derivative are logarithmically convex are established.
Alienation of the Jensen, Cauchy and d’Alembert equations
Let $(S,+)$ be a commutative semigroup, $\sigma : S \to S$ be an endomorphism with $\sigma^2 = id$ and let $K$ be a field of characteristic different from 2. Inspired by the problem of strong alienation of the Jensen eq...