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Article

Ricceri, Ornella Naselli
On the covering dimension of the fixed point set of certain multifunctions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 32 (1991), issue 2, pp. 281-286
MSC: 47H04, 47H10, 47H19, 49A29, 49J40 | MR 1137789 | Zbl 0753.47034
Keywords:
multifunction; fixed point; covering dimension; variational inequality
Summary:
We study the covering dimension of the fixed point set of lower semicontinuous multifunctions of which many values can be non-closed or non-convex. An application to variational inequalities is presented.
References:
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[2] Engelking R.: Dimension theory. PWN, 1978. MR 0482697 | Zbl 0401.54029
[3] Naselli Ricceri O.: $\Cal A$-fixed points of multi-valued contractions. J. Math. Anal. Appl. 135 (1988), 406-418. MR 0967219 | Zbl 0662.54030
[4] Ricceri B.: Fixed points of lower semicontinuous multifunctions and applications: alternative and minimax theorems. Rend. Accad. Naz. Sci. XL, Mem. Mat. 103 (1985), 331-338. MR 0899257 | Zbl 0586.47058
[5] Saint Raymond J.: Points fixes des multiplications à valeurs convexes. C.R. Acad. Sci. Paris, Sér. I, 298 (1984), 71-74. MR 0740940
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