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FIXED POINT THEOREM FOR MULTIFUNCTIONS

open access: yesDemonstratio Mathematica, 1984
This paper proves a fixed point theorem for multifunctions by the Ekeland variational principle. As an application a theorem of Lusternik is reobtained, but the argument seems not entirely correct. Using the author's notation, the following counterexample may be considered: \(X=Y\), \(H(x)=x\), \(u=x\), \(T=I\), \(x_ 0=0\). Then p is arbitrary positive,
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