Modified hybrid algorithms for Lipschitz quasi-pseudo-contractive mappings in Hilbert spaces

DOI10.1016/j.camwa.2010.02.012zbMath1193.65091OpenAlexW2033616153MaRDI QIDQ988268

Songnian He, Tian Shi

Publication date: 26 August 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.02.012

zbMATH Keywords

strong convergenceIshikawa's iteration processLipschitz quasi-pseudo-contractionsmodified hybrid method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

Related Items

Strong convergence of shrinking projection methods for a family of pseudocontractive mappings in Hilbert spaces

Cites Work

• A hybrid algorithm for pseudo-contractive mappings
• Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
• Convergence theorems of common fixed points for a family of Lipschitz quasi-pseudocontractions
• An example concerning fixed points
• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• Convergence theorems of fixed points for Lipschitz pseudo-contractions in Hilbert spaces
• Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
• Strong convergence of the CQ method for fixed point iteration processes
• Fixed Points by a New Iteration Method
• Fixed points of nonexpanding maps
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Mean Value Methods in Iteration