Convergence Analysis of an Accelerated Iteration for Monotone Generalized α-Nonexpansive Mappings with a Partial Order
In this paper, we introduce a new accelerated iteration for finding a fixed point of monotone generalized α-nonexpansive mapping in an ordered Banach space. We establish some weak and strong convergence theorems of fixed point for monotone generalized α-nonexpansive mapping in a uniformly convex Ban...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2019-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2019/2789819 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832549095155171328 |
|---|---|
| author | Yi-An Chen Dao-Jun Wen |
| author_facet | Yi-An Chen Dao-Jun Wen |
| author_sort | Yi-An Chen |
| collection | DOAJ |
| description | In this paper, we introduce a new accelerated iteration for finding a fixed point of monotone generalized α-nonexpansive mapping in an ordered Banach space. We establish some weak and strong convergence theorems of fixed point for monotone generalized α-nonexpansive mapping in a uniformly convex Banach space with a partial order. Further, we provide a numerical example to illustrate the convergence behavior and effectiveness of the proposed iteration process. |
| format | Article |
| id | doaj-art-67c5a57e4317443f996b1a086e357568 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-67c5a57e4317443f996b1a086e3575682025-02-03T06:12:08ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/27898192789819Convergence Analysis of an Accelerated Iteration for Monotone Generalized α-Nonexpansive Mappings with a Partial OrderYi-An Chen0Dao-Jun Wen1College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, ChinaCollege of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, ChinaIn this paper, we introduce a new accelerated iteration for finding a fixed point of monotone generalized α-nonexpansive mapping in an ordered Banach space. We establish some weak and strong convergence theorems of fixed point for monotone generalized α-nonexpansive mapping in a uniformly convex Banach space with a partial order. Further, we provide a numerical example to illustrate the convergence behavior and effectiveness of the proposed iteration process.http://dx.doi.org/10.1155/2019/2789819 |
| spellingShingle | Yi-An Chen Dao-Jun Wen Convergence Analysis of an Accelerated Iteration for Monotone Generalized α-Nonexpansive Mappings with a Partial Order Journal of Function Spaces |
| title | Convergence Analysis of an Accelerated Iteration for Monotone Generalized α-Nonexpansive Mappings with a Partial Order |
| title_full | Convergence Analysis of an Accelerated Iteration for Monotone Generalized α-Nonexpansive Mappings with a Partial Order |
| title_fullStr | Convergence Analysis of an Accelerated Iteration for Monotone Generalized α-Nonexpansive Mappings with a Partial Order |
| title_full_unstemmed | Convergence Analysis of an Accelerated Iteration for Monotone Generalized α-Nonexpansive Mappings with a Partial Order |
| title_short | Convergence Analysis of an Accelerated Iteration for Monotone Generalized α-Nonexpansive Mappings with a Partial Order |
| title_sort | convergence analysis of an accelerated iteration for monotone generalized α nonexpansive mappings with a partial order |
| url | http://dx.doi.org/10.1155/2019/2789819 |
| work_keys_str_mv | AT yianchen convergenceanalysisofanacceleratediterationformonotonegeneralizedanonexpansivemappingswithapartialorder AT daojunwen convergenceanalysisofanacceleratediterationformonotonegeneralizedanonexpansivemappingswithapartialorder |