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
From page
1
To page
11
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
Record number
2681453
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