Self-Adaptive Predictor-Corrector Approach for General Variational Inequalities Using a Fixed-Point Formulation
A literature review revealed that the general variational inequalities, fixed-point problems, and Winner–Hopf equations are equivalent. In this study, general variational inequality and fixed-point problem are considered. We introduced a new iterative method based on a self-adaptive predictor-correc...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
|
| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/2478644 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832564046228881408 |
|---|---|
| author | Kubra Sanaullah Saleem Ullah Muhammad Shoaib Arif Kamaleldin Abodayeh Rabia Fayyaz |
| author_facet | Kubra Sanaullah Saleem Ullah Muhammad Shoaib Arif Kamaleldin Abodayeh Rabia Fayyaz |
| author_sort | Kubra Sanaullah |
| collection | DOAJ |
| description | A literature review revealed that the general variational inequalities, fixed-point problems, and Winner–Hopf equations are equivalent. In this study, general variational inequality and fixed-point problem are considered. We introduced a new iterative method based on a self-adaptive predictor-corrector approach for finding a solution to the GVI. Adaptations in the fixed-point formulation and self-adaptive techniques have been used to predict a novel iterative approach. Convergence analyses of the suggested algorithm are demonstrated. Moreover, numerical analysis shows that we establish the new best method for solving general variational inequality which performs better than the previous one. Furthermore, it is known that GVI consisted of several classes including variational inequalities and related optimization problems, and results obtained in this study continue to hold for these problems. |
| format | Article |
| id | doaj-art-2127eb7d62bd4012888869938901db4a |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-2127eb7d62bd4012888869938901db4a2025-02-03T01:11:57ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2478644Self-Adaptive Predictor-Corrector Approach for General Variational Inequalities Using a Fixed-Point FormulationKubra Sanaullah0Saleem Ullah1Muhammad Shoaib Arif2Kamaleldin Abodayeh3Rabia Fayyaz4Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of Mathematics and SciencesDepartment of MathematicsA literature review revealed that the general variational inequalities, fixed-point problems, and Winner–Hopf equations are equivalent. In this study, general variational inequality and fixed-point problem are considered. We introduced a new iterative method based on a self-adaptive predictor-corrector approach for finding a solution to the GVI. Adaptations in the fixed-point formulation and self-adaptive techniques have been used to predict a novel iterative approach. Convergence analyses of the suggested algorithm are demonstrated. Moreover, numerical analysis shows that we establish the new best method for solving general variational inequality which performs better than the previous one. Furthermore, it is known that GVI consisted of several classes including variational inequalities and related optimization problems, and results obtained in this study continue to hold for these problems.http://dx.doi.org/10.1155/2022/2478644 |
| spellingShingle | Kubra Sanaullah Saleem Ullah Muhammad Shoaib Arif Kamaleldin Abodayeh Rabia Fayyaz Self-Adaptive Predictor-Corrector Approach for General Variational Inequalities Using a Fixed-Point Formulation Journal of Function Spaces |
| title | Self-Adaptive Predictor-Corrector Approach for General Variational Inequalities Using a Fixed-Point Formulation |
| title_full | Self-Adaptive Predictor-Corrector Approach for General Variational Inequalities Using a Fixed-Point Formulation |
| title_fullStr | Self-Adaptive Predictor-Corrector Approach for General Variational Inequalities Using a Fixed-Point Formulation |
| title_full_unstemmed | Self-Adaptive Predictor-Corrector Approach for General Variational Inequalities Using a Fixed-Point Formulation |
| title_short | Self-Adaptive Predictor-Corrector Approach for General Variational Inequalities Using a Fixed-Point Formulation |
| title_sort | self adaptive predictor corrector approach for general variational inequalities using a fixed point formulation |
| url | http://dx.doi.org/10.1155/2022/2478644 |
| work_keys_str_mv | AT kubrasanaullah selfadaptivepredictorcorrectorapproachforgeneralvariationalinequalitiesusingafixedpointformulation AT saleemullah selfadaptivepredictorcorrectorapproachforgeneralvariationalinequalitiesusingafixedpointformulation AT muhammadshoaibarif selfadaptivepredictorcorrectorapproachforgeneralvariationalinequalitiesusingafixedpointformulation AT kamaleldinabodayeh selfadaptivepredictorcorrectorapproachforgeneralvariationalinequalitiesusingafixedpointformulation AT rabiafayyaz selfadaptivepredictorcorrectorapproachforgeneralvariationalinequalitiesusingafixedpointformulation |