Convergence theorems for finite families of \(\Phi \)-strongly pseudocontractive mappings

DOI10.1007/s13370-018-0549-5zbMath1413.47096OpenAlexW2793327005MaRDI QIDQ1617688

Ahmed A. Abdelhakim, R. A. Rashwan

Publication date: 8 November 2018

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-018-0549-5

zbMATH Keywords

common fixed pointiterative approximation\(\Phi \)-pseudocontractive

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

• On solving Lipschitz pseudocontractive operator equations
• Iterative solutions of nonlinear equations with \(\phi\)-strongly accretive operators in uniformly smooth Banach spaces.
• Approximating fixed points of \(\Phi\)-hemicontractive mappings by the Ishikawa iteration process with errors in uniformly smooth Banach spaces
• Iterative solution of nonlinear equations of the \(\Phi\)-strongly accretive type
• An iterative procedure for constructing zeros of accretive sets in Banach spaces
• Iterative solutions of nonlinear φ-strongly accretive operator equations in arbitrary Banach spaces
• Approximation of Fixed Points of Strongly Pseudocontractive Mappings