Premium
A hybrid projective method for solving system of equilibrium problems with demicontractive mappings applicable in image restoration problems
Author(s) -
Khan Suhel Ahmad,
Kazmi Kaleem Raza,
Yambangwai Damrongsak,
Cholamjiak Watcharaporn
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6129
Subject(s) - mathematics , convergence (economics) , scheme (mathematics) , image (mathematics) , projection (relational algebra) , projective test , set (abstract data type) , mathematical optimization , finite element method , projection method , finite set , fixed point , point (geometry) , dykstra's projection algorithm , algorithm , pure mathematics , mathematical analysis , computer science , artificial intelligence , geometry , physics , economics , thermodynamics , programming language , economic growth
In this paper, we propose a general iterative scheme based on CQ projection method for finding a common solution of system of equilibrium problems and the fixed point set of a finite family of demicontractive mappings. We also prove strong convergence of the scheme to a common element of the two above‐described sets. We then give a numerical example to justify our main result. An example is given in an infinite dimensional space for supporting our main result. Moreover, we apply our main result to solve the unconstrained image restoration problems with a finite family of blurring operators. Our results extend and improve some existing results in the literature.