Affiliation:
1. School of Mathematics, Statistics and Computer Science , University of KwaZulu-Natal , Durban , South Africa
Abstract
Abstract
The purpose of this paper is to introduce an iterative algorithm for approximating the solution of the split equality monotone variational inclusion problem (SEMVIP) for monotone operators, which is also a solution of the split equality fixed point problem (SEFPP) for strictly pseudocontractive maps in real Hilbert spaces. We establish the strong convergence of the sequence generated by our iterative algorithm. Our result complements and extends some related results in literature.
Subject
Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics
Reference50 articles.
1. G. L. Acedo and H.-K. Xu,
Iterative methods for strict pseudo-contractions in Hilbert spaces,
Nonlinear Anal. 67 (2007), no. 7, 2258–2271.
2. T. O. Alakoya and O. T. Mewomo,
Viscosity S-iteration method with inertial technique and self-adaptive step size for split variational inclusion, equilibrium and fixed point problems,
Comput. Appl. Math. 41 (2022), no. 1, Paper No. 39.
3. T. O. Alakoya, A. O. E. Owolabi and O. T. Mewomo,
An inertial algorithm with a self-adaptive step size for a split equilibrium problem and a fixed point problem of an infinite family of strict pseudo-contractions,
J. Nonlinear Var. Anal. 5 (2021), 803–829.
4. T. O. Alakoya, A. O. E. Owolabi and O. T. Mewomo,
Inertial algorithm for solving split mixed equilibrium and fixed point problems for hybrid-type multivalued mappings with no prior knowledge of operator norm,
J. Nonlinear Convex Anal., to appear.
5. T. O. Alakoya, A. Taiwo, O. T. Mewomo and Y. J. Cho,
An iterative algorithm for solving variational inequality, generalized mixed equilibrium, convex minimization and zeros problems for a class of nonexpansive-type mappings,
Ann. Univ. Ferrara Sez. VII Sci. Mat. 67 (2021), no. 1, 1–31.