Nonlinear ordered variational inclusion problem involving XOR operation with fuzzy mappings Article Swipe

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Iqbal Ahmad , Syed Shakaib Irfan , Mohammad Farid , Preeti Shukla ·

YOU? · · 2020 · Open Access · · DOI: https://doi.org/10.1186/s13660-020-2308-z

In the setting of real ordered positive Hilbert spaces, a nonlinear fuzzy ordered variational inclusion problem with its corresponding nonlinear fuzzy ordered resolvent equation problem involving XOR operation has been recommended and solved by employing an iterative algorithm. We establish the equivalence between nonlinear fuzzy ordered variational inclusion problem and nonlinear fuzzy ordered resolvent equation problem. The existence and convergence analysis of the solution of nonlinear fuzzy ordered variational inclusion problem involving XOR operation has been substantiated by applying a new resolvent operator method with XOR operation technique. The iterative algorithm and results demonstrated in this article have witnessed a significant improvement in many previously known results of this domain.

Related Topics

Mathematics

Hilbert Space

Mathematical Analysis

Artificial Intelligence

Economics

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Mathematics Resolvent Fuzzy logic Equivalence (formal languages) Hilbert space Nonlinear system Iterative method Applied mathematics Convergence (economics) Mathematical analysis Mathematical optimization Pure mathematics Computer science Physics Economic growth Quantum mechanics Artificial intelligence Economics

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Type: article
Language: en
Landing Page: https://doi.org/10.1186/s13660-020-2308-z
PDF: https://journalofinequalitiesandapplications.springeropen.com/track/pdf/10.1186/s13660-020-2308-z.pdf
OA Status: gold
Cited By: 5
References: 38
Related Works: 10
OpenAlex ID: https://openalex.org/W3030062569

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DOI: https://doi.org/10.1186/s13660-020-2308-z

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Title: Nonlinear ordered variational inclusion problem involving XOR operation with fuzzy mappings

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Language: en

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Publication year: 2020

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Publication date: 2020-02-13

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Authors: Iqbal Ahmad, Syed Shakaib Irfan, Mohammad Farid, Preeti Shukla

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Landing page: https://doi.org/10.1186/s13660-020-2308-z

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Concepts: Mathematics, Resolvent, Fuzzy logic, Equivalence (formal languages), Hilbert space, Nonlinear system, Iterative method, Applied mathematics, Convergence (economics), Mathematical analysis, Mathematical optimization, Pure mathematics, Computer science, Physics, Economic growth, Quantum mechanics, Artificial intelligence, Economics

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Cited by: 5

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