Convex contraction-type mappings in modular metric spaces with applications.
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| Title: | Convex contraction-type mappings in modular metric spaces with applications. |
|---|---|
| Authors: | Yahaya, Sirajo1 (AUTHOR) surajmt951@gmail.com, Ali, Faryad2 (AUTHOR) faali@imamu.edu.sa, Alotaibi, Trad3 (AUTHOR) t.alotaibi@tu.edu.sa, Mohammed, Shehu Shagari4 (AUTHOR) shagaris@ymail.com, Azam, Akbar5 (AUTHOR) akbarazam@gaus.edu.pk, A. Al-Kadhi, Mohammed2 (AUTHOR) mahkadi@imamu.edu.sa |
| Source: | Engineering Computations. 2026, Vol. 43 Issue 5, p2119-2138. 20p. |
| Subjects: | Fixed point theory, Contraction operators, Nonexpansive mappings, Metric spaces, Integral equations, Applied mathematics |
| Abstract: | Purpose: In this article, new contraction mappings are introduced in the context of modular metric spaces. Conditions for such operators to have fixed points are explained. The validity of the obtained results and their connection with the existing literature are demonstrated via a nontrivial example. From application perspectives, it is demonstrated that the concepts proposed herein enable the development of novel criteria for solving a class of integral equations. Design/methodology/approach: The research adopts the classical method of proving fixed-point results of Lipschitzian mappings, using the Picard iteration. Findings: Fixed-point results of several kinds of modular contraction-type inequalities are established in this article. An example is provided to bolster the theories developed by the findings reported here. Examining an application to an integral equation expressed as an invariant point problem demonstrates the research's wide utility. Originality/value: Fixed-point findings of modular contraction types and related applications are not given enough attention in the literature. Therefore, this work focuses on studying fixed point results of several kinds of modular contraction-type inequalities. [ABSTRACT FROM AUTHOR] |
| Copyright of Engineering Computations is the property of Emerald Publishing Limited and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 194143646 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Convex contraction-type mappings in modular metric spaces with applications. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Yahaya%2C+Sirajo%22">Yahaya, Sirajo</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> surajmt951@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Ali%2C+Faryad%22">Ali, Faryad</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> faali@imamu.edu.sa</i><br /><searchLink fieldCode="AR" term="%22Alotaibi%2C+Trad%22">Alotaibi, Trad</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> t.alotaibi@tu.edu.sa</i><br /><searchLink fieldCode="AR" term="%22Mohammed%2C+Shehu+Shagari%22">Mohammed, Shehu Shagari</searchLink><relatesTo>4</relatesTo> (AUTHOR)<i> shagaris@ymail.com</i><br /><searchLink fieldCode="AR" term="%22Azam%2C+Akbar%22">Azam, Akbar</searchLink><relatesTo>5</relatesTo> (AUTHOR)<i> akbarazam@gaus.edu.pk</i><br /><searchLink fieldCode="AR" term="%22A%2E+Al-Kadhi%2C+Mohammed%22">A. Al-Kadhi, Mohammed</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> mahkadi@imamu.edu.sa</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Engineering+Computations%22">Engineering Computations</searchLink>. 2026, Vol. 43 Issue 5, p2119-2138. 20p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Fixed+point+theory%22">Fixed point theory</searchLink><br /><searchLink fieldCode="DE" term="%22Contraction+operators%22">Contraction operators</searchLink><br /><searchLink fieldCode="DE" term="%22Nonexpansive+mappings%22">Nonexpansive mappings</searchLink><br /><searchLink fieldCode="DE" term="%22Metric+spaces%22">Metric spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Integral+equations%22">Integral equations</searchLink><br /><searchLink fieldCode="DE" term="%22Applied+mathematics%22">Applied mathematics</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Purpose: In this article, new contraction mappings are introduced in the context of modular metric spaces. Conditions for such operators to have fixed points are explained. The validity of the obtained results and their connection with the existing literature are demonstrated via a nontrivial example. From application perspectives, it is demonstrated that the concepts proposed herein enable the development of novel criteria for solving a class of integral equations. Design/methodology/approach: The research adopts the classical method of proving fixed-point results of Lipschitzian mappings, using the Picard iteration. Findings: Fixed-point results of several kinds of modular contraction-type inequalities are established in this article. An example is provided to bolster the theories developed by the findings reported here. Examining an application to an integral equation expressed as an invariant point problem demonstrates the research's wide utility. Originality/value: Fixed-point findings of modular contraction types and related applications are not given enough attention in the literature. Therefore, this work focuses on studying fixed point results of several kinds of modular contraction-type inequalities. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Engineering Computations is the property of Emerald Publishing Limited and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 20 StartPage: 2119 Subjects: – SubjectFull: Fixed point theory Type: general – SubjectFull: Contraction operators Type: general – SubjectFull: Nonexpansive mappings Type: general – SubjectFull: Metric spaces Type: general – SubjectFull: Integral equations Type: general – SubjectFull: Applied mathematics Type: general Titles: – TitleFull: Convex contraction-type mappings in modular metric spaces with applications. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Yahaya, Sirajo – PersonEntity: Name: NameFull: Ali, Faryad – PersonEntity: Name: NameFull: Alotaibi, Trad – PersonEntity: Name: NameFull: Mohammed, Shehu Shagari – PersonEntity: Name: NameFull: Azam, Akbar – PersonEntity: Name: NameFull: A. Al-Kadhi, Mohammed IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: 2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 02644401 Numbering: – Type: volume Value: 43 – Type: issue Value: 5 Titles: – TitleFull: Engineering Computations Type: main |
| ResultId | 1 |
