Abstract

In this paper, we introduce an inertial accelerated iterative algorithm for approximating a common solution of a minimization problem and a fixed point problem for quasi-pseudocontractive mapping in a real Hilbert space. Using the algorithm, we prove a strong convergence theorem for approximating a common solution of a minimization problem and a fixed point problem for quasi-pseudocontractive mapping. Furthermore, we give an application of our main result to solve convexly constrained linear inverse problems, and we also present a numerical example of our algorithm to illustrate its applicability.

Keywords: Minimization problem; quasi-pseudocontractive mappings; inertial iterative scheme; fixed point problem.

MSC: 47H06, 47H09, 47J05, 47J25

Pages:  338--350     

Volume  71 ,  Issue  4 ,  2019