Iterative algorithms with variable coefficients for multivalued generalized \(\Phi \)-hemicontractive mappings without generalized Lipschitz assumption
DOI10.1155/2010/982352zbMath1207.65063OpenAlexW2913389377MaRDI QIDQ623540
Publication date: 8 February 2011
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/232673
Banach spacesfixed-point theoremsIshikawa-type iterative algorithmsmultivalued generalized \(\Phi\)-hemicontractive mappings
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)
Cites Work
- On the stability of iterative approximations to fixed points of nonexpansive mappings
- Iterative algorithms with variable coefficients for asymptotically strict pseudocontractions
- The solution by iteration of nonlinear equations in uniformly smooth Banach spaces
- New iteration procedures with errors for multivalued \(\phi\)-strongly pseudocontractive and \(\phi\)-strongly accretive mappings
- Convergence theorems for multivalued \(\phi\)-hemicontractive operators and \(\phi\)-strongly accretive operators
- Iterative construction of fixed points of nonself-mappings in Banach spaces
- Convergence theorem for zeros of generalized Lipschitz generalized phi-quasi-accretive operators
- Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings
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