Properties of the generalized \(f\)-projection operator and its applications in Banach spaces
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Publication:2460596
DOI10.1016/j.camwa.2007.01.029zbMath1151.47057OpenAlexW2010270680MaRDI QIDQ2460596
Publication date: 12 November 2007
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2007.01.029
convergencemaximal monotone operatorgeneralized \(f\)-projection operatorlower semi-continuityiterative sequencegeneralized variational inequality
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25)
Related Items (21)
Degree theory for generalized mixed quasi-variational inequalities and its applications ⋮ Solvability of \(f\)-complementarity problems with a new exceptional family of elements ⋮ Existence and convergence theorems for the new system of generalized mixed variational inequalities in Banach spaces ⋮ A strong convergence theorem for relatively nonexpansive mappings and equilibrium problems in Banach spaces ⋮ Strong convergence theorems for relatively nonexpansive mappings in Banach spaces with applications ⋮ Projection algorithms for the system of mixed variational inequalities in Banach spaces ⋮ Existence and algorithm for solving the system of mixed variational inequalities in Banach spaces ⋮ A generalized \(f\)-projection algorithm for inverse mixed variational inequalities ⋮ The existence of zeros of set-valued mappings in reflexive Banach spaces ⋮ A new projection-type method for solving multi-valued mixed variational inequalities without monotonicity ⋮ An iterative method for variational inequality problems ⋮ Projection methods for a system of nonlinear mixed variational inequalities in Banach spaces ⋮ Global dynamical systems involving generalized \(f\)-projection operators and set-valued perturbation in Banach spaces ⋮ Projection algorithms for the system of generalized mixed variational inequalities in Banach spaces ⋮ Existence theorem and algorithm for a general implicit variational inequality in Banach space ⋮ On the generalized Bregman projection operator in reflexive Banach spaces ⋮ Existence result and error bounds for a new class of inverse mixed quasi-variational inequalities ⋮ Iterative schemes for approximating solutions of generalized variational inequalities in Banach spaces ⋮ Merit functions and error bounds for constrained mixed set-valued variational inequalities via generalizedf-projection operators ⋮ Well-posedness by perturbations of mixed variational inequalities in Banach spaces ⋮ A new class of generalizedf-projected dynamical system in Banach spaces
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