Fixed Point Theorems in Partially Ordered Metric Spaces and Existence Results for Integral Equations.
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| Title: | Fixed Point Theorems in Partially Ordered Metric Spaces and Existence Results for Integral Equations. |
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| Authors: | Nashine, HemantKumar1 (AUTHOR), Samet, Bessem2 (AUTHOR) bessem.samet@gmail.com, Vetro, Calogero3 (AUTHOR) |
| Source: | Numerical Functional Analysis & Optimization. Nov2012, Vol. 33 Issue 11, p1304-1320. 17p. |
| Subjects: | Fixed point theory, Partially ordered spaces, Metric spaces, Existence theorems, Integral equations, Contractions (Topology), Proof theory |
| Abstract: | We derive some new coincidence and common fixed point theorems for self-mappings satisfying a generalized contractive condition in partially ordered metric spaces. As applications of the presented theorems, we obtain fixed point results for generalized contraction of integral type and we prove an existence theorem for solutions of a system of integral equations. [ABSTRACT FROM PUBLISHER] |
| Copyright of Numerical Functional Analysis & Optimization is the property of Taylor & Francis Ltd 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 |
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| Header | DbId: egs DbLabel: Engineering Source An: 82371903 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Fixed Point Theorems in Partially Ordered Metric Spaces and Existence Results for Integral Equations. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Nashine%2C+HemantKumar%22">Nashine, HemantKumar</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Samet%2C+Bessem%22">Samet, Bessem</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> bessem.samet@gmail.com</i><br /><searchLink fieldCode="AR" term="%22Vetro%2C+Calogero%22">Vetro, Calogero</searchLink><relatesTo>3</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Numerical+Functional+Analysis+%26+Optimization%22">Numerical Functional Analysis & Optimization</searchLink>. Nov2012, Vol. 33 Issue 11, p1304-1320. 17p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Fixed+point+theory%22">Fixed point theory</searchLink><br /><searchLink fieldCode="DE" term="%22Partially+ordered+spaces%22">Partially ordered spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Metric+spaces%22">Metric spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Existence+theorems%22">Existence theorems</searchLink><br /><searchLink fieldCode="DE" term="%22Integral+equations%22">Integral equations</searchLink><br /><searchLink fieldCode="DE" term="%22Contractions+%28Topology%29%22">Contractions (Topology)</searchLink><br /><searchLink fieldCode="DE" term="%22Proof+theory%22">Proof theory</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We derive some new coincidence and common fixed point theorems for self-mappings satisfying a generalized contractive condition in partially ordered metric spaces. As applications of the presented theorems, we obtain fixed point results for generalized contraction of integral type and we prove an existence theorem for solutions of a system of integral equations. [ABSTRACT FROM PUBLISHER] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Numerical Functional Analysis & Optimization is the property of Taylor & Francis Ltd 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: Identifiers: – Type: doi Value: 10.1080/01630563.2012.675395 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 17 StartPage: 1304 Subjects: – SubjectFull: Fixed point theory Type: general – SubjectFull: Partially ordered spaces Type: general – SubjectFull: Metric spaces Type: general – SubjectFull: Existence theorems Type: general – SubjectFull: Integral equations Type: general – SubjectFull: Contractions (Topology) Type: general – SubjectFull: Proof theory Type: general Titles: – TitleFull: Fixed Point Theorems in Partially Ordered Metric Spaces and Existence Results for Integral Equations. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Nashine, HemantKumar – PersonEntity: Name: NameFull: Samet, Bessem – PersonEntity: Name: NameFull: Vetro, Calogero IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 11 Text: Nov2012 Type: published Y: 2012 Identifiers: – Type: issn-print Value: 01630563 Numbering: – Type: volume Value: 33 – Type: issue Value: 11 Titles: – TitleFull: Numerical Functional Analysis & Optimization Type: main |
| ResultId | 1 |
