Approximation theorems and fixed point theorems for various classes of 1-set-contractive mappings in Banach spaces

DOI10.1007/s101140000095zbMath1013.47021OpenAlexW2170674420MaRDI QIDQ5936965

Li Shan Liu

Publication date: 5 June 2002

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s101140000095

zbMATH Keywords

1-set-contractions

Mathematics Subject Classification ID

Fixed-point theorems (47H10)

Related Items (14)

Fixed Point Theorem and Related Nonlinear Analysis by the Best Approximation Method in p-Vector Spaces ⋮ Best approximation and fixed-point theorems for discontinuous increasing maps in Banach lattices ⋮ The best approximation theorems and variational inequalities for discontinuous mappings in Banach spaces ⋮ Boundary conditions for 1-set contractions maps in Banach spaces ⋮ The best approximation theorems and fixed point theorems for discontinuous increasing mappings in Banach spaces ⋮ New fixed point theorems for 1-set-contractive operators in Banach spaces ⋮ Isotonicity of the metric projection with applications to variational inequalities and fixed point theory in Banach spaces ⋮ Nonlinear analysis in \(p\)-vector spaces for single-valued 1-set contractive mappings ⋮ Fixed point and approximation results for multimaps in S-KKM class. ⋮ Coupled best approximation theorems for discontinuous operators in partially ordered Banach spaces ⋮ Fixed point theorems of 1-set-contractive operators in Banach spaces ⋮ Random and deterministic fixed point and approximation results for countably 1-set-contractive multimaps ⋮ Approximation and fixed point theorems for countable condensing composite maps ⋮ Nonlinear analysis by applying best approximation method in \(p\)-vector spaces

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