渐近伪压缩型半群不动点的隐式迭代逼近
Implicit Iterative Approximation of Fixed Points for Asymptotically Pseudocontractive Type Semigroups
-
摘要: 引入并研究一类渐近伪压缩型半群和隐式迭代序列, 在Banach空间中证明该隐式迭代序列强收敛渐近伪压缩型半群公共不动点定理, 将Thakur等的结果推广到了渐近伪压缩型半群以及更广泛的隐式迭代序列的情形。Abstract: In this paper, we introduce asymptotically pseudocontractive type semigroups and implicit iteration sequence, and prove the strong convergence theorem of implicit iteration sequence of common fixed points for asymptotically pseudocontractive type semigroups in Banach spaces, which extend the results of Thakur et al. to the case of asymptotically pseudocontractive type semigroups and the more extensive implicit iteration sequence.