Three-step iterations for total asymptotically nonexpansive mappings in CAT(0) spaces

Autor:	Mihai Postolache, S Gurucharan Saluja
Rok vydání:	2017
Předmět:	010101 applied mathematics Discrete mathematics Class (set theory) General Mathematics 010102 general mathematics Mathematical analysis Fixed-point theorem 0101 mathematics 01 natural sciences Mathematics
Zdroj:	Filomat. 31:1317-1330
ISSN:	2406-0933 0354-5180
Popis:	In this paper, we establish strong and ?-convergence theorems of modified three-step iterations for total asymptotically nonexpansive mapping which is wider than the class asymptotically nonexpansive mappings in the framework of CAT(0) spaces. Our results extend and generalize the corresponding results of Chang et al. [Demiclosed principle and ?-convergence theorems for total asymptotically nonexpansive mappings in CAT(0) spaces, Appl. Math. Comput. 219(5) (2012) 2611-2617], Nanjaras and Panyanak [Demiclosed principle for asymptotically nonexpansive mappings in CAT(0) spaces, Fixed Point Theory Appl. Vol. 2010, Art. ID 268780], and many others.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::860c3a71d72aeeea6e253e51bc2a00fc https://doi.org/10.2298/fil1705317s Zobrazit plný text záznamu