In this paper, we introduce the concepts of the set-valued dynamical systems of asymptotic contractions of Meir-Keeler type and set-valued dynamical systems of strict contractions in uniform spaces and we present a method which is useful for establishing conditions guaranteeing the existence and uni
Generalized contractions of Meir–Keeler type, endpoints, set-valued dynamical systems and generalized pseudometrics in uniform spaces
✍ Scribed by Kazimierz Włodarczyk; Robert Plebaniak
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 285 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In this paper, the concept of the set-valued dynamical systems of contractions of Meir-Keeler type in uniform spaces is introduced and conditions guaranteeing the existence and uniqueness of endpoints of these contractions and the convergence to these endpoints of all generalized sequences of iterat
In cone uniform spaces X , using the concept of the D-family of cone pseudodistances, the distance between two not necessarily convex or compact sets A and B in X is defined, the concepts of cyclic and noncyclic set-valued dynamic systems of D-relatively quasiasymptotic contractions T : A ∪ B → 2 A∪