Viscosity iterative algorithm for variational inequality problems and fixed point problems of strict pseudo-contractions in uniformly smooth Banach spaces
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| 008 | 210128e20150901xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10114-015-4623-8 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-4623-8 | ||
| 100 | 1 | |a Cai |D Gang |u College of Mathematics Science, Chongqing Normal University, 401331, Chongqing, P. R. China |4 aut | |
| 245 | 1 | 0 | |a Viscosity iterative algorithm for variational inequality problems and fixed point problems of strict pseudo-contractions in uniformly smooth Banach spaces |h [Elektronische Daten] |c [Gang Cai] |
| 520 | 3 | |a The purpose of this paper is to study a new viscosity iterative algorithm based on a generalized contraction for finding a common element of the set of solutions of a general variational inequality problem for finite inversely strongly accretive mappings and the set of common fixed points for a countable family of strict pseudo-contractions in uniformly smooth Banach spaces. We prove some strong convergence theorems under some suitable conditions. The results obtained in this paper improve and extend the recent ones announced by many others in the literature. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Variational inequality |2 nationallicence | |
| 690 | 7 | |a fixed point |2 nationallicence | |
| 690 | 7 | |a strong convergence |2 nationallicence | |
| 690 | 7 | |a uniformly smooth Banach space |2 nationallicence | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/9(2015-09-01), 1435-1448 |x 1439-8516 |q 31:9<1435 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-4623-8 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-4623-8 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Cai |D Gang |u College of Mathematics Science, Chongqing Normal University, 401331, Chongqing, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/9(2015-09-01), 1435-1448 |x 1439-8516 |q 31:9<1435 |1 2015 |2 31 |o 10114 | ||