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Inertial Projection Algorithm for Solving Split Best Proximity Point and Mixed Equilibrium Problems in Hilbert Spaces.
- Source :
-
Axioms (2075-1680) . Jul2022, Vol. 11 Issue 7, p321-N.PAG. 11p. - Publication Year :
- 2022
-
Abstract
- The primary goal of this paper is to present and study an inertial projection algorithm for solving the split best proximity and mixed equilibrium problems. We find a solution of the best proximity problem in such a way that its image under a bounded linear operator is the solution of the mixed equilibrium problem under the setting of real Hilbert spaces. We construct an iterative algorithm for the proposed problem and prove a weak convergence theorem. Moreover, we deduce some consequences from the main convergence result. Finally, a numerical experiment is presented to demonstrate the convergence analysis of our algorithm. The methodology and results presented in this work improve and unify some previously published findings in this field. [ABSTRACT FROM AUTHOR]
- Subjects :
- *HILBERT space
*EQUILIBRIUM
*LINEAR operators
*ALGORITHMS
*NONEXPANSIVE mappings
Subjects
Details
- Language :
- English
- ISSN :
- 20751680
- Volume :
- 11
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Axioms (2075-1680)
- Publication Type :
- Academic Journal
- Accession number :
- 158176468
- Full Text :
- https://doi.org/10.3390/axioms11070321