Total asymptotically nonexpansive mappings in uniformly convex metric spaces
| Author | Fukhar-Ud-Din, Hafiz |
| Author | Khan, Safeer Hussain |
| Available date | 2020-06-23T20:45:39Z |
| Publication Date | 2019 |
| Publication Name | UPB Scientific Bulletin, Series A: Applied Mathematics and Physics |
| Resource | Scopus |
| ISSN | 12237027 |
| Abstract | We approximate common fixed point of a pair of total asymptotically nonexpansive mappings in the setting of a uniformly convex metric space. The proposed algorithm is computationally simpler than the existing ones in the literature of metric fixed point theory. Our results are new and are valid in Hilbert spaces, CAT(0) spaces and uniformly convex Banach spaces satisfying Opial's property, simultaneously. - 2019, Politechnica University of Bucharest. All rights reserved. |
| Sponsor | Acknowledgments. The authors wish to thank the anonymous reviewer(s) and handling editor for careful reading and valuable suggestions to improve the quality of the paper. The first author would like to acknowledge the support provided by the Deanship of Scientific Research(DSR) at King Fahd University of Petroleum & Minerals (KFUPM) for funding this work through project No. IN151014. |
| Language | en |
| Publisher | Politechnica University of Bucharest |
| Subject | Common fixed point Convergence Convex metric space Iterative algorithm Jointly demiclosed principle Total asymptotically nonexpansive mapping |
| Type | Article |
| Pagination | 161-172 |
| Issue Number | 1 |
| Volume Number | 81 |
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Mathematics, Statistics & Physics [740 items ]