TY - JOUR ID - Cholamjiak2014 LB - Cholamjiak2014 AU - Cholamjiak, Prasit TI - Approximating fixed points of a countable family of strict pseudocontractions in Banach spaces ST - Approximating fixed points of a countable family of strict pseudocontractions in Banach spaces JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2014 VL - 34 IS - 1 SP - 67 EP - 79 DO - http://dx.doi.org/10.7494/OpMath.2014.34.1.67 UR - http://dx.doi.org/10.7494/OpMath.2014.34.1.67 AB - We prove the strong convergence of the modified Mann-type iterative scheme for a countable family of strict pseudocontractions in \(q\)-uniformly smooth Banach spaces. Our results mainly improve and extend the results announced in [Y. Yao, H. Zhou, Y.-C. Liou, Strong convergence of a modified Krasnoselski-Mann iterative algorithm for non-expansive mappings, J. Appl. Math. Comput. 29 (2009), 383-389]. KW - common fixed points KW - convergence theorem KW - modified Mann iteration KW - strict pseudocontractions KW - \(q\)-uniformly smooth Banach spaces SN - 1232-9274 ER -