一类新的含(H,η)-增生算子的变分包含组解的迭代逼近

Iterative Approximation of Solutions for a New Class of Variational Inclusions Involving H,η-accretive Operators

在q-一致光滑Banach空间中引入和研究了一类新的含(H,η)-增生算子的集值变分包含组问题.利用所定义的(H,η)-增生算子的预解算子,给出了此类变分包含组的迭代算法,并证明了由该算法生成的迭代序列的强收敛性.所得结果改进和推广了最近一些文献中的相应结果.

A new class of multi- valued variational inclusions involving （H,η） -accretive operators in q -uni- formly smooth Banach spaces is introduced and discussed. Using the resolvent operator associated with （H,η） - accretive operators, the paper attempts to construct an iterative algorithm for this system and prove the strong convergence of this iterative sequence generated by the algorithm. The result presented in this paper improves and extends the recent findings announced by many others.