On coincidence points of mappings in partially ordered spaces
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Publication:403891
DOI10.1134/S1064562413060239zbMath1312.54018OpenAlexW1997312585MaRDI QIDQ403891
Evgeny S. Zhukovskiy, Aram V. Arutyunov, Sergey Zhukovskiy
Publication date: 29 August 2014
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1064562413060239
Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)
Related Items (15)
On one inclusion with a mapping acting from a partially ordered set to a set with a reflexive binary relation ⋮ Common fixed points and coincidences of mapping families on partially ordered sets ⋮ Fixed-point and coincidence theorems in ordered sets ⋮ Preservation of the coincidence point existence property under some discrete transformations of a pair of mappings of metric spaces ⋮ On a control problem for a system of implicit differential equations ⋮ Fixed points of mappings on ordered sets ⋮ Preservation of the existence of fixed and coincidence points under homotopy of mappings of ordered sets ⋮ Functional and differential inequalities and their applications to control problems ⋮ Coincidence points principle for mappings in partially ordered spaces ⋮ On preservation of common fixed points and coincidences under a homotopy of mapping families of ordered sets ⋮ Caristi-like condition and the existence of minima of mappings in partially ordered spaces ⋮ On ordered-covering mappings and implicit differential inequalities ⋮ On coincidences of families of mappings on ordered sets ⋮ Two-sided estimates for solutions of boundary value problems for implicit differential equations ⋮ On Chaplygin’s theorem for an implicit differential equation of order n
Cites Work
- Stability of coincidence points and properties of covering mappings
- Covering mappings in metric spaces and fixed points
- Locally covering maps in metric spaces and coincidence points
- Fixed Point Theory in Ordered Sets and Applications
- Optimization and nonsmooth analysis
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