A modified Halpern-type iteration algorithm for quasi-ϕ -asymptotically nonexpansive mappings and applications

DOI10.2478/s12175-013-0194-2zbMath1324.47120OpenAlexW2054173477MaRDI QIDQ5411232

Yong Kun Tang, Chi Kin Chan, Lin Wang, Yun-He Zhao, Shi Sheng Zhang

Publication date: 22 April 2014

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s12175-013-0194-2

zbMATH Keywords

strong convergencegeneralized projectionrelatively nonexpansive mappingweak relatively nonexpansive mappingquasi-\(\phi \)-asymptotically nonexpansive mappingquasi-\(\phi \)-nonexpansive mapping

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Hybrid Projection Algorithm for Two Finite Families of Asymptotically Quasiϕ-Nonexpansive Mappings in Reflexive Banach Spaces

Cites Work

• Convergence of a modified Halpern-type iteration algorithm for quasi-\(\phi\)-nonexpansive mappings