带(H,η)-单调映象的模糊集值变分包含问题

A New Class of Fuzzy Set-Valued Variational Inclusions with(H,η)-Monotone Mappings

本文引入和研究了一类新的带(H,η)-单调映象的模糊集值变分包含问题,利用(H,η)-单调映象的预解算子技巧,对这类模糊集值变分包含建立了一个新的寻求近似解的近似点算法.在一定条件下证明了求近似解序列强收敛于精确解.

In the article, we introduce and study a new class of fuzzy set - valued variational inclusions with （ H,η） - monotone mappings in Hilbert spaces. By using the resolvent operator technique due to Fang, Huang and Thompson, we suggest a new proximal point algorithm for finding approximate solution which strongly converges to the exact solution of fuzzy setvalued variational inclusions with （H,η） -monotone. The results presented in the article improve and unify some recent results in this field.