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SOLVING SPLIT EQUALITY FIXED POINT PROBLEM OF GENERALIZED DEMIMETRIC MAPPING AND CERTAIN OPTIMIZATION PROBLEM VIA DYNAMIC STEP-SIZE TECHNIQUE

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Publicado en:Bulletin of the Transilvania University of Brasov. Mathematics, Informatics, Physics. Series III vol. 5, no. 1 (2025), p. 1
Autor principal: Abass, Hammed Anuoluwapo
Otros Autores: Aphane, Maggie, Ogunsola, Olufemi
Publicado:
Transilvania University of Brasov
Materias:
Mapping
Iterative algorithms
Hilbert space
Iterative methods
Fixed points (mathematics)
Optimization
Applied mathematics
Acceso en línea:Citation/Abstract
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Resumen:In this article, we study the split equality problem of certain optimization problem in real Hilbert spaces. We propose a new viscosity iterative algorithm for approximating solution for finite families of split equality variational inequality and split equality fixed point problems of generalized demimetric mapping in real Hilbert spaces. Using our iterative method, we establish a strong convergence result for finding a common element for finite families of variational inequality and fixed point problems of generalized demimetric mapping. We present some consequences and application to convex minimization ptoblem to validate our main result. Our result complements and generalizes some related results in literature.
ISSN:2065-2151
DOI:10.31926/but.mif.2025.5.67.1.1
Fuente:Advanced Technologies & Aerospace Database