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Extended Perturbed Mixed Variational-Like Inequalities for Fuzzy Mappings

Author

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  • Muhammad Bilal Khan
  • Muhammad Aslam Noor
  • Khalida Inayat Noor
  • Ahmad Termimi Ab Ghani
  • Lazim Abdullah
  • Xiaolong Qin

Abstract

In this article, our aim is to consider a class of fuzzy mixed variational-like inequalities (FMVLIs) for fuzzy mapping known as extended perturbed fuzzy mixed variational-like inequalities (EPFMVLIs). As exceptional cases, some new and classically defined “FMVLIs†are also attained. We have also studied the auxiliary principle technique of auxiliary “EPFMVLI†for “EPFMVLI.†By using this technique and some new analytic results, some existence results and efficient numerical techniques of “EPFMVLI†are established. Some advanced and innovative iterative algorithms are also obtained, and the convergence criterion of iterative sequences generated by algorithms is also proven. In the end, some new and previously known existence results and algorithms are also studied. Results secured in this paper can be regarded as purification and development of previously familiar results.

Suggested Citation

  • Muhammad Bilal Khan & Muhammad Aslam Noor & Khalida Inayat Noor & Ahmad Termimi Ab Ghani & Lazim Abdullah & Xiaolong Qin, 2021. "Extended Perturbed Mixed Variational-Like Inequalities for Fuzzy Mappings," Journal of Mathematics, Hindawi, vol. 2021, pages 1-16, January.
    • Handle: RePEc:hin:jjmath:6652930
    DOI: 10.1155/2021/6652930
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