Kim, Jong Kyu; Kim, Kyung Soo; Nam, Young Man Convergence and stability of iterative processes for a pair of simultaneously asymptotically quasi-nonexpansive type mappings in convex metric spaces. (English) Zbl 1136.47044 J. Comput. Anal. Appl. 9, No. 2, 159-172 (2007). The authors introduce the concept of a pair of simultaneously asymptotically quasi-nonexpansive mappings. They develop a two-step modified iterative process with errors to approximate the common fixed point. Some stability results are also discussed. Reviewer: Ya-Ping Fang (Chengdu) Cited in 11 Documents MSC: 47J25 Iterative procedures involving nonlinear operators 47H05 Monotone operators and generalizations 47H09 Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. 47H10 Fixed-point theorems 49M05 Numerical methods based on necessary conditions Keywords:simultaneously asymptotically quasi-nonexpansive mappings; two-step modified iterative process with errors; convex metric space; stability PDFBibTeX XMLCite \textit{J. K. Kim} et al., J. Comput. Anal. Appl. 9, No. 2, 159--172 (2007; Zbl 1136.47044)