A Reich-type convergence theorem for generalized nonexpansive mappings in uniformly convex Banach spaces |
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| Institution: | 1. Dipartimento di Scienze Fisiche, Informatiche e Matematiche, Universitá di Modena e Reggio, Emilia via Campi 213, Modena 41125, Italy;2. Dipartimento di Ingegneria Industriale, Università di Firenze, viale Morgagni 40, Firenze 50143, Italy |
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| Abstract: | We prove a weak convergence theorem for generalized nonexpansive mappings in uniformly convex Banach spaces whose dual has the Kadec–Klee property. This theorem is connected with a famous convergence theorem for nonexpansive mappings proved by Reich in 1979. |
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