Hilbert空间中一类强伪压缩映射的不动点定理与路径收敛

Path Convergence and Fixed Point Theorem for Strongly Pseudo-contraction Mappings in Hilbert Space

摘要

摘要:研究了Hilbert空间中一类强伪压缩映射的不动点问题,提出了一个新的路径公式,得到了一个新的不动点存在定理和路径收敛性结果.给出了所得结果在变分不等式解存在性研究中的应用.

Abstract:Fixed point problems with strong pseudo-contraction mappings are studied in Hilbert space. Put forwarded,a new path formula and a new fixed point existence theorem and a path convergence results are thus obtained. Some applications of such results in the existence research of solutions for variational inequalities are presented. The results presented extend and improve corresponding results of the reference literature.