Best approximation and fixed-point theorems for discontinuous increasing maps in Banach lattices
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Publication:286821
DOI10.1186/1687-1812-2014-18zbMath1344.47036OpenAlexW2101695668WikidataQ59319401 ScholiaQ59319401MaRDI QIDQ286821
Dezhou Kong, Yong-Hong Wu, Li Shan Liu
Publication date: 26 May 2016
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2014-18
Fixed-point and coincidence theorems (topological aspects) (54H25) Best approximation, Chebyshev systems (41A50) Banach lattices (46B42) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)
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Cites Work
- Unnamed Item
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- Best and coupled best approximation theorems in abstract convex metric spaces
- Optimal solutions to variational inequalities on Banach lattices
- Best approximation theorems for nonexpansive and condensing mappings in hyperconvex spaces
- Applications of the proximity map to fixed point theorems in Hilbert space
- Banach lattices
- Approximation and fixed-point theorems for condensing composites of multifunctions
- Random fixed-point theorems and approximation in cones
- On approximation theorems and fixed point theorems for non-self-mappings in infinite dimensional Banach spaces
- Random approximations and random fixed point theorems in infinite dimensional Banach spaces
- Fixed point and approximation results for multimaps in S-KKM class.
- Existence and approximation of fixed points for multivalued maps
- Extensions of two fixed point theorems of F. E. Browder
- On Random Approximations and a Random Fixed Point Theorem for Set Valued Mappings
- Random Approximations and Random Fixed Point Theorems for Non-Self-Maps
- A Note on a Theorem of Ky Fan
- Random fixed points of random multivalued operators on polish spaces
- Existence and uniqueness of positive fixed points for mixed monotone operators and applications
- Some random approximations and random fixed point theorems for 1-set-contractive random operators
- Approximation and fixed point theorems for countable condensing composite maps
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- Random approximations and random fixed point theorems for random 1-setn-contractive non-self-maps in abstract cones
- Some Random Fixed Point Theorems for Condensing Operators
- On some fixed point theorems
- Approximation theorems and fixed point theorems for various classes of 1-set-contractive mappings in Banach spaces
