A convergence theorem for Ishikawa iterates of continuous generalized nonexpansive maps

DOI10.1016/0022-247X(92)90042-CzbMath0752.47034MaRDI QIDQ1191636

Qihou Liu

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Convergence of the Ishikawa iteration schemegeneralized contractive and nonexpansive self mapsnonempty convex compact subsets in Hilbert spaces

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25)

Related Items

Fixed Point Iterations For Strictly Hemi-Contractive Maps In Uniformly Smooth Banach Spaces ⋮ Iterative approximation of solutions of nonlinear equations of Hammerstein type ⋮ Global iterative schemes for accretive operators ⋮ Approximation of solutions of Hammerstein equations with bounded strongly accretive nonlinear operators ⋮ Approximation of Solutions of Nonlinear Equations of Monotone and Hammerstein Type

Cites Work

• On Naimpally and Singh's open questions
• The convergence theorems of the sequence of Ishikawa iterates for hemicontractive mappings
• A convergence theorem of the sequence of Ishikawa iterates for quasi- contractive mappings
• Fixed Points by a New Iteration Method