Completely Generalized Quasi-Variational-Like Inclusions with Nonconvex Functionals
Lei Deng · Journal of Southwest University · 2007
In this paper,two new concepts of η-subdifferential and η-proximal mappings of proper functionals are introduced in Hilbert spaces,and the existence and Lipschitz continuity of the η-proximal mapping are shown.By applying these concepts,a class of completely generalized quasi-variational-like inclusions with a nonconvex functionals are introduced and studied.A new iterative algorithms for finding the approximate solutions and the convergence criteria of the iterative sequences generated by the algorithms are also given.