Method for Solving Variational Inequality Problems and Fixed Point Problems without Some Well-known Condition.

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Bibliographic Details
Title: Method for Solving Variational Inequality Problems and Fixed Point Problems without Some Well-known Condition.
Authors: Nuisman, Anucha1 anucha_nuisman@outlook.com, Kangtunyakarn, Atid2 beawrock@hotmail.com
Source: Engineering Letters. Jan2024, Vol. 32 Issue 1, p84-88. 5p.
Subjects: Drawing techniques, Nonexpansive mappings, Differential inequalities, Variational inequalities (Mathematics)
Abstract: This study presents an innovative method for approximating solutions to the variational inequality and fixed-point problems. The proposed approach deviates from traditional methods by employing different conditions and techniques drawn from [18] [20] [21]. Uniquely, our work circumvents the utilization of a commonly used lemma (see [10]) that forms the basis for most proofs related to strong convergence theorems. As part of our investigation, we provide a comprehensive numerical example to substantiate our findings, thus enhancing the practical relevance and applicability of our research. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:This study presents an innovative method for approximating solutions to the variational inequality and fixed-point problems. The proposed approach deviates from traditional methods by employing different conditions and techniques drawn from [18] [20] [21]. Uniquely, our work circumvents the utilization of a commonly used lemma (see [10]) that forms the basis for most proofs related to strong convergence theorems. As part of our investigation, we provide a comprehensive numerical example to substantiate our findings, thus enhancing the practical relevance and applicability of our research. [ABSTRACT FROM AUTHOR]
ISSN:1816093X