在实自反Banach空间中,引入并研究一类新的渐近$\varphi$-拟伪压缩型集值变分包含问题,证明了这类变分包含解的唯一性,并在没有序列$\{t_n\}$或$\{s_n\}$有界的条件下,建立了渐近$\varphi$-拟伪压缩型集值变分包含解的具随机混合误差的Ishikawa迭代序列的强收敛性定理, 从而改进和推广了一些已知的结果.

This paper is to introduce and study a new class of variational inclu-sion problems with asymptotically - quasi-pseudocontractive type mappings in real
Banach spaces. The uniqueness of such solutions is proved and strong convergence theorem of Ishikawa iterative sequences with random mixed errors of solutions for the variational inclusions is also established without the conditions that sequence {tn} or {sn} is bounded. The results here improve and extend some known results.