Title of article :
Viscosity approximation to a common solution of variational inequality problems and fixed point problems for Lipschitzian semigroup in Banach spaces
Author/Authors :
Kumam, Poom King Mongkut’s University of Technology Thonburi (KMUTT) - Faculty of Science - Department of Mathematics, Thailand , Plubtieng, Somyot Naresuan University - Faculty of Science - Department of Mathematics, Thailand , Katchang, Phayap Rajamangala University of Technology Lanna Tak - Faculty of Science and Agricultural Technology - Department of Mathematics and Statistics, Thailand
Abstract :
We introduce a new iterative algorithm based on a viscosity approximation method for finding the common solution of variational inequality problems for an inverse strongly accretive operator and the solution of fixed point problems for Lipschitzian semigroup mappings in Banach spaces. In controlling suitable conditions, strong convergence theorems are proven. Our results extend and improve the recent results of some authors in the literature in this field.
Keywords :
Strong convergence , Fixed point , Variational inequality , Lipschitzian semigroup , Banach spaces , Accretive operator , Viscosity approximation
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences
