Existence and approximation results for SKC mappings in CAT(0) spaces
| Author | Abbas, Mujahid |
| Author | Khan, Safeer Hussain |
| Author | Postolache, Mihai |
| Available date | 2016-09-21T08:12:09Z |
| Publication Date | 2014-05 |
| Publication Name | Journal of Inequalities and Applications |
| Resource | Scopus |
| Citation | Abbas et al.: "Existence and approximation results for SKC mappings in CAT(0) spaces". Journal of Inequalities and Applications 2014, 2014:212 |
| ISSN | 1025-5834 |
| Abstract | Recently, Karap?nar and Tas (Comput. Math. Appl. 61:3370-3380, 2011) extended the class of Suzuki-generalized nonexpansive mappings to the class of SKC mappings. In this paper, we investigate SKC mappings to get a criterion to guarantee a fixed point, via extending the results proved by Karap?nar and Tas into the class of CAT(0) spaces. Further, by using Ishikawa-type iteration scheme for two mappings, we derive approximation fixed point sequence. Our results extend, improve and unify some existing results in this direction, such as (Nonlinear Anal. Hybrid Syst. 4:25-31, 2010) by Nanjaras et al. or (Comput. Math. Appl. 61:109-116, 2011) by Khan and Abbas. |
| Language | en |
| Publisher | Springer International Publishing |
| Subject | Common fixed point existence iterative process SKC mapping strong convergence CAT (0) space △-convergence |
| Type | Article |
| Volume Number | 2014 |
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Mathematics, Statistics & Physics [726 items ]