Strong convergence theorems for countable Lipschitzian mappings and its applications in equilibrium and optimization problems

DOI10.1155/2009/462489zbMath1163.91464OpenAlexW2041381301WikidataQ59248997 ScholiaQ59248997MaRDI QIDQ1030609

Yongfu Su, Li-Ping Yang

Publication date: 2 July 2009

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55561

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) General equilibrium theory (91B50) Mathematical programming (90C99)

Related Items

An algorithm for finding common solutions of various problems in nonlinear operator theory

Cites Work

• Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
• Monotone CQ iteration processes for nonexpansive semigroups and maximal monotone operators
• Strong convergence of monotone hybrid algorithm for hemi-relatively nonexpansive mappings
• Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings
• Weak and strong convergence theorems for countable Lipschitzian mappings and its applications
• Strong convergence theorem by monotone hybrid algorithm for equilibrium problems, hemirelatively nonexpansive mappings, and maximal monotone operators
• An example concerning fixed points
• Equilibrium programming using proximal-like algorithms
• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• Strong convergence theorems for relatively nonexpansive mappings in a Banach space
• Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups
• Strong convergence theorems by the hybrid method for families of nonexpansive mappings in Hilbert spaces
• Mean Value Methods in Iteration
• Unnamed Item
• Unnamed Item
• Unnamed Item