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

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.