Fuzzy映象的完全广义非线性隐拟变分包含

详细信息

Completely Generalized Nonlinear Implicit Quasi-Variational Inclusions for Fuzzy Mappings

Department of Mathematics and Physics Southwest University of Science and Technology Sichuan Mianyang 621002

摘要: 通过建立q-一致光滑Banach空间中一类新的涉及Fuzzy映象及广义m-增生映象的完全广义非线性隐-拟变分包含,利用Nadler定理及广义m-增生映象的解算子技巧,构造了新的迭代算法。由该算法得到了q-一致光滑Banach空间中这类完全广义非线性隐-拟变分包含的近似解并证明了该解的存在性。建立了由算法产生的迭代序列,得到了它收敛到变分包含的精确解。
- 变分包含 /
- 广义m-增生映象 /
- Fuzzy映象 /
- 解算子 /
- 迭代算法
Abstract: A new class of completely generalized nonlinear implicit quasi-variational inclusions involving generalized m-accretive mappings for fuzzy mappings in q -uniformly smooth Banach space are introduced and studied. By using the Nadler's theorem and the resolvent operator technique for generalized m-accretive mapping, some new iterative algorithms for finding the approximate solutions of this class of variational inclusions are constructed and the existence of solution for this kind of variational inclusion are proved. The iterative sequences generated by the algorithms converge to the exact solution of the quasi-variational inclusions.
- variational inclusion /
- generalized m-accretive mapping /
- fuzzy mapping /
- resolvent operator /
- iterative algorithm