Generalized contractions of Meir-Keeler type, endpoints, set-valued dynamical systems and generalized pseudometrics in uniform spaces
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Publication:943761
DOI10.1016/j.na.2007.03.036zbMath1158.54005OpenAlexW2024239567MaRDI QIDQ943761
Kazimierz Włodarczyk, Raobert Plebaniak
Publication date: 10 September 2008
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2007.03.036
Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Uniform structures and generalizations (54E15)
Related Items (4)
Cone uniform, cone locally convex and cone metric spaces, endpoints, set-valued dynamic systems and quasi-asymptotic contractions ⋮ A stationary point theorem characterizing metric completeness ⋮ Some asymptotic stationary point theorems in topological spaces ⋮ Convergence theorems for a finite family of multi-valued strictly pseudo-hybrid mappings in Hilbert spaces
Cites Work
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- Existence and uniqueness of endpoints of closed set-valued asymptotic contractions in metric spaces
- Fixed points of asymptotic contractions
- Endpoints of set-valued dynamical systems of asymptotic contractions of Meir-Keeler type and strict contractions in uniform spaces
- Set-valued dynamic systems and random iterations of set-valued weaker contractions in uniform spaces
- Fixed-point theorem for asymptotic contractions of Meir--Keeler type in complete metric spaces
- A theorem on contraction mappings
- Fixed Points and Stationary Points of Dissipative Multivalued Maps
- Fixed point theorems in metric spaces
- On characterizations of Meir-Keeler contractive maps
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