caa a22 4500 605461228 CHVBK 20210128100242.0 cr unu---uuuuu 210128e20150901xx s 000 0 eng 10.1007/s10114-015-4623-8 doi (NATIONALLICENCE)springer-10.1007/s10114-015-4623-8 Cai Gang College of Mathematics Science, Chongqing Normal University, 401331, Chongqing, P. R. China aut Viscosity iterative algorithm for variational inequality problems and fixed point problems of strict pseudo-contractions in uniformly smooth Banach spaces [Elektronische Daten] [Gang Cai] 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. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 Variational inequality nationallicence fixed point nationallicence strong convergence nationallicence uniformly smooth Banach space nationallicence Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/9(2015-09-01), 1435-1448 1439-8516 31:9<1435 2015 31 10114 https://doi.org/10.1007/s10114-015-4623-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-4623-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Cai Gang College of Mathematics Science, Chongqing Normal University, 401331, Chongqing, P. R. China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/9(2015-09-01), 1435-1448 1439-8516 31:9<1435 2015 31 10114