TY - JOUR ID - Saluja2010 LB - Saluja2010 AU - Saluja, Gurucharan Singh AU - Nashine, Hemant Kumar TI - Convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces ST - Convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings in convex metric spaces JO - Opuscula Math. JA - Opuscula Math. JF - Opuscula Mathematica PY - 2010 VL - 30 IS - 3 SP - 331 EP - 340 DO - http://dx.doi.org/10.7494/OpMath.2010.30.3.331 UR - http://dx.doi.org/10.7494/OpMath.2010.30.3.331 AB - In this paper, we give some necessary and sufficient conditions for an implicit iteration process with errors for a finite family of asymptotically quasi-nonexpansive mappings converging to a common fixed of the mappings in convex metric spaces. Our results extend and improve some recent results of Sun, Wittmann, Xu and Ori, and Zhou and Chang. KW - implicit iteration process KW - finite family of asymptotically quasi-nonexpansive mappings KW - common fixed point KW - convex metric space SN - 1232-9274 ER -