Hybrid Inertial Iterative Method for Fixed point, Variational Inequality and Generalized Mixed Equilibrium Problems in Banach Space
In this paper, we introduced a hybrid inertial iterative method which converges strongly to a common element of solution of generalized mixed equilibrium, variational inequality and fixed point problems in a two uniformly smooth and uniformly convex Banach space. Our hybrid inertial iterative method...
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| Format: | Article |
| Language: | English |
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Ada Academica
2024-04-01
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| Series: | European Journal of Mathematical Analysis |
| Online Access: | https://adac.ee/index.php/ma/article/view/218 |
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| _version_ | 1846112674041036800 |
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| author | Lawal Umar Yusuf Ibrahim M.S. Lawan |
| author_facet | Lawal Umar Yusuf Ibrahim M.S. Lawan |
| author_sort | Lawal Umar |
| collection | DOAJ |
| description | In this paper, we introduced a hybrid inertial iterative method which converges strongly to a common element of solution of generalized mixed equilibrium, variational inequality and fixed point problems in a two uniformly smooth and uniformly convex Banach space. Our hybrid inertial iterative method, techniques of proof and corollaries improves, extends and generalizes many results in the literature. |
| format | Article |
| id | doaj-art-fc8d63e12a2c4effa230c55bd443f88a |
| institution | Kabale University |
| issn | 2733-3957 |
| language | English |
| publishDate | 2024-04-01 |
| publisher | Ada Academica |
| record_format | Article |
| series | European Journal of Mathematical Analysis |
| spelling | doaj-art-fc8d63e12a2c4effa230c55bd443f88a2024-12-22T12:23:47ZengAda AcademicaEuropean Journal of Mathematical Analysis2733-39572024-04-0148810.28924/ada/ma.4.8218Hybrid Inertial Iterative Method for Fixed point, Variational Inequality and Generalized Mixed Equilibrium Problems in Banach SpaceLawal Umar0Yusuf Ibrahim1M.S. Lawan2Department of Mathematics, Federal College of Education, Zaria Kaduna, NigeriaDepartment of Mathematics, Saadatu Rimi University of Education, Kumbotso Kano, NigeriaDepartment of Mathematics and Statistics, Kaduna Polytechnic Kaduna, NigeriaIn this paper, we introduced a hybrid inertial iterative method which converges strongly to a common element of solution of generalized mixed equilibrium, variational inequality and fixed point problems in a two uniformly smooth and uniformly convex Banach space. Our hybrid inertial iterative method, techniques of proof and corollaries improves, extends and generalizes many results in the literature.https://adac.ee/index.php/ma/article/view/218 |
| spellingShingle | Lawal Umar Yusuf Ibrahim M.S. Lawan Hybrid Inertial Iterative Method for Fixed point, Variational Inequality and Generalized Mixed Equilibrium Problems in Banach Space European Journal of Mathematical Analysis |
| title | Hybrid Inertial Iterative Method for Fixed point, Variational Inequality and Generalized Mixed Equilibrium Problems in Banach Space |
| title_full | Hybrid Inertial Iterative Method for Fixed point, Variational Inequality and Generalized Mixed Equilibrium Problems in Banach Space |
| title_fullStr | Hybrid Inertial Iterative Method for Fixed point, Variational Inequality and Generalized Mixed Equilibrium Problems in Banach Space |
| title_full_unstemmed | Hybrid Inertial Iterative Method for Fixed point, Variational Inequality and Generalized Mixed Equilibrium Problems in Banach Space |
| title_short | Hybrid Inertial Iterative Method for Fixed point, Variational Inequality and Generalized Mixed Equilibrium Problems in Banach Space |
| title_sort | hybrid inertial iterative method for fixed point variational inequality and generalized mixed equilibrium problems in banach space |
| url | https://adac.ee/index.php/ma/article/view/218 |
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