广义渐近S-半压缩型映象迭代逼近

On the Iterative Approximations for Generalized Asymptotically S-Demicontractive Type Mappings

在实赋范线性空间中引入并研究一类新的广义渐近S-半压缩型映象,使用新的分析方法,在较弱条件下建立了有限族一致Lipschitz广义渐近S-半压缩型映象不动点具有误差的迭代序列的强收敛定理,我们获得的结果改进和推广了有关文献中的相应结果。

The purpose of this paper is to introduce and explore a new class of generalized asymptotically S-demi-contractive type mappings in real normed linear spaces.The strong convergence theorem of iterative sequences with error associated with a finite family of uniformly Lipschitz generalized asymptotically S-demi-contractive type mappings is established under weaker conditions by a new analytical method.The results achieved are an improvement and extension of the previously known results.