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General modified viscosity implicit rules for generalized asymptotically nonexpansive mappings in complete CAT ( 0 ) spaces
| Content Provider | Semantic Scholar |
|---|---|
| Author | Xiong, Ting-Jian Lan, Heng-You |
| Copyright Year | 2019 |
| Abstract | *Correspondence: hengyoulan@163.com 1College of Mathematics and Statistics, Sichuan University of Science & Engineering, Zigong, P.R. China Abstract It is well known that the concept (generalized) asymptotically nonexpansive is closely related to the theory of fixed points in Banach spaces, and the implicit midpoint rule is one of the powerful numerical methods for solving differential equations. The purpose of this paper is to introduce a class of new general modified viscosity implicit rules of generalized asymptotically nonexpansive mappings in complete CAT(0) spaces, and to prove some strong convergence theorems of the procedure generated by the new general modified viscosity implicit rules under some suitable conditions. The results presented in this paper improve and extend varieties of results in the recent literature. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://journalofinequalitiesandapplications.springeropen.com/track/pdf/10.1186/s13660-019-2114-7 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
