Generalized mixed quasivariational inclusions and generalized mixed resolvent equations for fuzzy mappings

摘要

In this paper, we introduce the concept of generalized mixed quasivariational inclusions and generalized mixed resolvent equations for fuzzy mappings. By using the resolvent operator technique for maximal monotone mapping, we obtain that the generalized mixed quasivariational inclusions for fuzzy mappings are equivalent to the fuzzy fixed-point problems and the generalized mixed resolvent equations for fuzzy mappings, respectively. We suggest a number of iterative algorithms, establish the existence results of solutions for the generalized mixed quasivariational inclusions for fuzzy mappings and prove the convergence of the algorithms. The results presented in this paper are improvements of previously known results.