Approximation of fixed points of strongly pseudocontractive mappings in uniformly smooth Banach spaces

Xue Zhiqun
2006 International Journal of Mathematics and Mathematical Sciences  
LetEbe a real uniformly smooth Banach space, andKa nonempty closed convex subset ofE. Assume thatT1+T2:K→Kis a continuous and strongly pseudocontractive mapping, whereT1:K→Kis Lipschitz andT2:K→Khas the bounded range mapping. Then the Ishikawa iterative sequence converges strongly to the unique fixed point ofT1+T2.
doi:10.1155/ijmms/2006/46561 fatcat:b373m5lm7naprikwhlbil4sbse