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 |
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Transilvania University of Brasov
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| Acceso en línea: | Citation/Abstract Full Text - PDF |
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| 022 | |a 2065-2151 | ||
| 024 | 7 | |a 10.31926/but.mif.2025.5.67.1.1 |2 doi | |
| 035 | |a 3173092999 | ||
| 045 | 2 | |b d20250101 |b d20250630 | |
| 084 | |a 119012 |2 nlm | ||
| 100 | 1 | |a Abass, Hammed Anuoluwapo |u Hammed Anuoluwapo Abass, Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Science University, P.O. Box 94, Pretoria 0204, South Africa | |
| 245 | 1 | |a SOLVING SPLIT EQUALITY FIXED POINT PROBLEM OF GENERALIZED DEMIMETRIC MAPPING AND CERTAIN OPTIMIZATION PROBLEM VIA DYNAMIC STEP-SIZE TECHNIQUE | |
| 260 | |b Transilvania University of Brasov |c 2025 | ||
| 513 | |a Journal Article | ||
| 520 | 3 | |a 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. | |
| 653 | |a Mapping | ||
| 653 | |a Iterative algorithms | ||
| 653 | |a Hilbert space | ||
| 653 | |a Iterative methods | ||
| 653 | |a Fixed points (mathematics) | ||
| 653 | |a Optimization | ||
| 653 | |a Applied mathematics | ||
| 700 | 1 | |a Aphane, Maggie |u Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Science University, P.O. Box 94, Pretoria 0204, South Africa | |
| 700 | 1 | |a Ogunsola, Olufemi |u Department of Mathematics, Federal University of Agriculture, Abeokuta, Ogun state, Nigeria | |
| 773 | 0 | |t Bulletin of the Transilvania University of Brasov. Mathematics, Informatics, Physics. Series III |g vol. 5, no. 1 (2025), p. 1 | |
| 786 | 0 | |d ProQuest |t Advanced Technologies & Aerospace Database | |
| 856 | 4 | 1 | |3 Citation/Abstract |u https://www.proquest.com/docview/3173092999/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |
| 856 | 4 | 0 | |3 Full Text - PDF |u https://www.proquest.com/docview/3173092999/fulltextPDF/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch |