Geodesic
Approximating solutions of split equality of some nonlinear optimization problems using an inertial algorithm
Commentationes Mathematicae Universitatis Carolinae, Tome 61 (2020) no. 3, pp. 277-312.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

This paper presents an inertial iterative algorithm for approximating a common solution of split equalities of generalized mixed equilibrium problem, monotone variational inclusion problem, variational inequality problem and common fixed point problem in real Hilbert spaces. The algorithm is designed in such a way that it does not require prior knowledge of the norms of the bounded linear operators. We prove a strong convergence theorem under some mild conditions of the control sequences and also give a numerical example to show the efficiency and accuracy of our algorithm. We see that the inertial algorithm performs better in terms of number of iteration and CPU-time than the non-inertial algorithm. This result improves and generalizes many recent results in the literature.
DOI : 10.14712/1213-7243.2020.029
Classification : 47H06, 47H09, 47J05, 47J25
Keywords: split equality; generalized equilibrium problem; variational inclusion problem; variational inequality; quasi-nonexpansive mapping; fixed point problem 
@article{10_14712_1213_7243_2020_029,
     author = {Jolaoso, Lateef O. and Mewomo, Oluwatosin T.},
     title = {Approximating solutions of split equality of some nonlinear optimization problems using an inertial algorithm},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {277--312},
     publisher = {mathdoc},
     volume = {61},
     number = {3},
     year = {2020},
     doi = {10.14712/1213-7243.2020.029},
     mrnumber = {4186109},
     zbl = {07286006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2020.029/}
}
TY  - JOUR
AU  - Jolaoso, Lateef O.
AU  - Mewomo, Oluwatosin T.
TI  - Approximating solutions of split equality of some nonlinear optimization problems using an inertial algorithm
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2020
SP  - 277
EP  - 312
VL  - 61
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2020.029/
DO  - 10.14712/1213-7243.2020.029
LA  - en
ID  - 10_14712_1213_7243_2020_029
ER  - 
%0 Journal Article
%A Jolaoso, Lateef O.
%A Mewomo, Oluwatosin T.
%T Approximating solutions of split equality of some nonlinear optimization problems using an inertial algorithm
%J Commentationes Mathematicae Universitatis Carolinae
%D 2020
%P 277-312
%V 61
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2020.029/
%R 10.14712/1213-7243.2020.029
%G en
%F 10_14712_1213_7243_2020_029
Jolaoso, Lateef O.; Mewomo, Oluwatosin T. Approximating solutions of split equality of some nonlinear optimization problems using an inertial algorithm. Commentationes Mathematicae Universitatis Carolinae, Tome 61 (2020) no. 3, pp. 277-312. doi : 10.14712/1213-7243.2020.029. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2020.029/

Cité par Sources :