Title of article :
On constrained minimization, variational inequality and split feasibility problem via new iteration scheme in Banach spaces
Author/Authors :
Garodia ، Chanchal Department of Mathematics - Faculty of Science - Jamia Millia Islamia , Uddin ، Izhar Department of Mathematics - Faculty of Science - Jamia Millia Islamia , Baleanu ، Dumitru Department of Mathematics and Computer Sciences - Faculty of Science - Cankaya University
Abstract :
The motive of this paper is to propose a new iterative algorithm for evaluating a solution of constrained minimization problem, variational inequality and split feasibility problem and common fixed point of two generalized α-nonexpansive mappings. We obtain few convergence results in the setting of uniformly convex Banach space. We also present some numerical examples for supporting our main results and to demonstrate the convergence behaviour of the obtained process.
Keywords :
Generalized α , nonexpansive mappings , Common fixed point , Iteration process , Strong and weak convergence , Variational inequality , Split feasibility problem
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
