Approximation for fixed points of strict pseudo-contractions and solutions of equilibrium and optimization problems

DOI10.1515/jaa.2010.001zbMath1276.74020OpenAlexW1971507506MaRDI QIDQ2865551

Jinlong Kang, Yongfu Su, Hong Zhang

Publication date: 2 December 2013

Published in: Journal of Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jaa.2010.001

zbMATH Keywords

fixed pointvariational inequalityequilibrium problemstrict pseudo-contractive mapping

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Monotone operators and generalizations (47H05) Bifurcation and buckling (74G60)

Cites Work

• Generalized system for relaxed cocoercive variational inequalities and projection methods
• General convergence analysis for two-step projection methods and applications to variational problems
• Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
• Regularization of nonlinear ill-posed variational inequalities and convergence rates
• Equilibrium programming using proximal-like algorithms
• An iterative approach to quadratic optimization
• Iterative algorithm for generalized set-valued strongly nonlinear mixed variational-like inequali\-ties
• Construction of fixed points of nonlinear mappings in Hilbert space
• FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE

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