Name
Title | ||
|---|---|---|
Strong convergence for a countable family of strict pseudocontractions in q-uniformly smooth Banach spaces |
Abstract | ||
|---|---|---|
We introduce a new iterative algorithm for finding a common fixed point of a countable family of strict pseudocontractions in q-uniformly smooth and uniformly convex Banach spaces. We then prove that the sequence generated by the proposed algorithm converges strongly to a common fixed point of an infinite family of strict pseudocontractions. Our results mainly improve and extend the results announced by Yao et al. [Y. Yao, Y.-C. Liou, G. Marino, Strong convergence of two iterative algorithms for nonexpansive mappings in Hilbert spaces, Fixed Point Theory Appl. 2009 (2009) 7 pages. doi:10.1155/2009/279058. Art. ID 279058]. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.camwa.2011.06.008 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
fixed point theory appl,infinite family,strict pseudocontractions,y. yao,proposed algorithm,q -uniformly smooth banach spaces,common fixed points,iterative algorithm,strong convergence,common fixed point,new iterative algorithm,g. marino,countable family,q-uniformly smooth banach space,fixed point theory,hilbert space,q | Convergence (routing),Hilbert space,Uniformly convex space,Mathematical optimization,Countable set,Iterative method,Mathematical analysis,Banach space,Regular polygon,Fixed-point theorem,Mathematics | Journal |
Volume | Issue | ISSN |
62 | 2 | Computers and Mathematics with Applications |
Citations | PageRank | References |
1 | 0.40 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Prasit Cholamjiak | 1 | 27 | 8.06 |
| Suthep Suantai | 2 | 43 | 15.06 |