Carbone, A.; Marino, G. Fixed points and almost fixed points of nonexpansive maps in Banach spaces. (English) Zbl 0674.47037 Riv. Mat. Univ. Parma, IV. Ser. 13, 385-393 (1987). Summary: We generalize two fixed point theorems for nonexpansive mappings on convex, closed (not necessarily bounded) subset of Banach space. Also, we characterize strict convexity of the space by using some geometric sets playing a role in these theorems. Cited in 1 ReviewCited in 3 Documents MSC: 47H10 Fixed-point theorems 46B20 Geometry and structure of normed linear spaces Keywords:almost fixed points; fixed point theorems for nonexpansive mappings; strict convexity PDFBibTeX XMLCite \textit{A. Carbone} and \textit{G. Marino}, Riv. Mat. Univ. Parma, IV. Ser. 13, 385--393 (1987; Zbl 0674.47037)