A general fixed point theorem for implicit cyclic multi-valued contraction mappings
Journal Title: Annales Mathematicae Silesianae - Year 2015, Vol 29, Issue
Abstract
In this paper, a general fixed point theorem for cyclic multi-valued mappings satisfying an implicit relation from [19] different from implicit relations used in [13] and [23], generalizing some results from [22], [15], [13], [14], [16], [10] and from other papers, is proved.
Authors and Affiliations
Valeriu Popa
Report of Meeting. The Seventeenth Katowice–Debrecen Winter Seminar Zakopane (Poland) , February 1–4, 2017
Report of Meeting. The Seventeenth Katowice–Debrecen Winter Seminar Zakopane (Poland) , February 1–4, 2017
On computer-assisted proving the existence of periodic and bounded orbits
We announce a new result on determining the Conley index of the Poincaré map for a time-periodic non-autonomous ordinary differential equation. The index is computed using some singular cycles related to an index pair of...
Random dynamical systems with jumps and with a function type intensity
In paper [4] there are considered random dynamical systems with randomly chosen jumps acting on Polish spaces. The intensity of this process is a constant $\lambda$. In this paper we formulate criteria for the existence...
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...