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Lassonde, Marc

On the use of KKM multifunctions in fixed point theory and related topics. (English) Zbl 0527.47037

J. Math. Anal. Appl. 97, 151-201 (1983).
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Cited in 8 Reviews
Cited in 143 Documents

MSC:

47H10 Fixed-point theorems
47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.
54H25 Fixed-point and coincidence theorems (topological aspects)
65J15 Numerical solutions to equations with nonlinear operators
65K10 Numerical optimization and variational techniques

Keywords:

Knaster-Kuratowski-Mazurkiewicz lemma; compact-valued KKM multifunction; partitions of unity; Galerkin method; geometric coincidence theorems; fixed point and minimax problems; semimonotone functions; variational inequalities; relaxed coercivity condition; fixed point theory of mappings of nonexpansive type; best approximation; boundary conditions of inwardness type and of Leray-Schauder type
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\textit{M. Lassonde}, J. Math. Anal. Appl. 97, 151--201 (1983; Zbl 0527.47037)
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References:

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