New fixed point theorems for a family of mappings and applications to problems on sets with convex sections
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Publication:4383101
DOI10.1090/S0002-9939-98-04347-0zbMath0891.46004OpenAlexW1547738472MaRDI QIDQ4383101
Kunquan Lan, Jeffrey R. L. Webb
Publication date: 24 March 1998
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04347-0
Variational inequalities (49J40) Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Convex sets in topological linear spaces; Choquet theory (46A55)
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Cites Work
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- Existence of maximal elements and equilibria in linear topological spaces
- Some properties of convex sets related to fixed point theorems
- Non-compact sets with convex sections. II
- A generalization of \(H\)-space and some results on multivalued mappings without convexity
- Applications of a theorem concerning sets with convex sections
- The fixed point theory of multi-valued mappings in topological vector spaces
- Fixed-point and Minimax Theorems in Locally Convex Topological Linear Spaces
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