A strong convergence theorem for relatively nonexpansive mappings and equilibrium problems in Banach spaces
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Publication:1925382
DOI10.1155/2012/498487zbMath1254.47037OpenAlexW1573582489WikidataQ58695360 ScholiaQ58695360MaRDI QIDQ1925382
Mei Yuan, Xi Li, Xue-song Li, John J. Liu
Publication date: 18 December 2012
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/498487
equilibrium problemsgeneralized \(f\)-projection operatorshrinking projection methodstrong convergence theoremrelatively nonexpansive mappings
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Cites Work
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- A strong convergence theorem for relatively nonexpansive mappings in a Banach space
- Strong convergence theorems for relatively nonexpansive mappings in Banach spaces with applications
- The generalized \(f\)-projection operator and set-valued variational inequalities in Banach spaces
- Strong convergence of shrinking projection methods for quasi-nonexpansive mappings and equilibrium problems
- The generalized projection operator on reflexive Banach spaces and its applications
- Proximal projection methods for variational inequalities and Cesáro averaged approximations
- Properties of the generalized \(f\)-projection operator and its applications in Banach spaces
- Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
- On the projection methods for fixed point problems
- Weak Convergence of Orbits of Nonlinear Operators in Reflexive Banach Spaces
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- The generalised f-projection operator with an application
- Generalized Projection Operators in Banach Spaces: Properties and Applications
