Iterative Algorithms for Common Solutions of Nonlinear Problems in Banach Spaces
The purpose of this manuscript is to construct an iterative algorithm for approximating a common solution of variational inequality problem and g-fixed point problem of pseudomonotone and Bregman relatively g-nonexpansive mappings, respectively, and prove strong convergence of a sequence generated b...
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Capítulo de libro |
| Lenguaje: | inglés |
| Publicado: |
IntechOpen
2022
|
| Materias: | |
| Acceso en línea: | https://www.intechopen.com/chapters/83639 |
| Etiquetas: |
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| Sumario: | The purpose of this manuscript is to construct an iterative algorithm for approximating a common solution of variational inequality problem and g-fixed point problem of pseudomonotone and Bregman relatively g-nonexpansive mappings, respectively, and prove strong convergence of a sequence generated by the proposed method to a common solution of the problems in real reflexive Banach spaces. The assumption that the mapping is Lipschitz monotone mapping is dispensed with. In addition, we give an application of our main result to find a minimum point of a convex function in real reflexive Banach spaces. Finally, we provide a numerical example to validate our result. Our results extend and generalize many results in the literature. |
|---|---|
| ISBN: | 978-1-83768-435-9 |
| DOI: | 10.5772/intechopen.106547 |