Marino, G.; Pietramala, P.; Singh, S. P. Convergence of approximating fixed point sets for multivalued mappings. (English) Zbl 0929.47027 J. Math. Sci., Delhi 28, 117-130 (1994). Let \(X\) be a normed space, \(C\subset X\), and \(T:C\to X\) a multivalued map. Moreover, let \(T_{\lambda, y}:C\to X\) be defined for \(0<\lambda< 1\) and \(y\in C\) by \(T_{\lambda, y}(x)= \lambda T(x)+(1- \lambda)y\). The authors study conditions under which the set \[ F_\lambda= \bigcup_{y\in C}\{x\in C:x\in T_{\lambda, y}(x)\} \] converges (in a certain sense) to the fixed point set of \(T\), as \(\lambda\to 1\). Reviewer: Jürgen Appell (Würzburg) MSC: 47H04 Set-valued operators 47H10 Fixed-point theorems 54C60 Set-valued maps in general topology Keywords:multivalued map; fixed point set PDFBibTeX XMLCite \textit{G. Marino} et al., J. Math. Sci., Delhi 28, 117--130 (1994; Zbl 0929.47027)