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Journals / Hacettepe Journal of Mathematics and Statistics / 2012 / Cilt: 41 - Sayı: 1

System of generalized $H$-resolvent equations and the corresponding system of generalized variational inclusions

Mursaleen
Rais AHMAD
Pages
33–45
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Our results are new and generalize many known results appearing in the literature.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The aim of this paper is to introduce a new system of generalized H- resolvent equations in uniformly smooth Banach spaces and to men- tion the corresponding system of variational inclusions.
📊
Key Findings & Data:We also prove the existence of solutions for the system of generalized H-resolvent equa- tions and the convergence of the iterative sequences generated by the algorithm.
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Conclusion & Impact:Our results are new and generalize many known results appearing in the literature.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The aim of this paper is to introduce a new system of generalized H- resolvent equations in uniformly smooth Banach spaces and to men- tion the corresponding system of variational inclusions. An equivalence relation is established between the system of generalized H-resolvent equations and the system of variational inclusions. We also prove the existence of solutions for the system of generalized H-resolvent equa- tions and the convergence of the iterative sequences generated by the algorithm. Our results are new and generalize many known results appearing in the literature.

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Cite This Article

Mursaleen, M., AHMAD, R. (2022). System of generalized $H$-resolvent equations and the corresponding system of generalized variational inclusions. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 1, 33–45. https://ajindex.com/articles/530524

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