Relational Almost (<i>ϕ</i>,<i>ψ</i>)-Contractions and Applications to Nonlinear Fredholm Integral Equations
This paper deals with the fixed-point findings under relational strict almost <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>ϕ</mi><mo>,</mo><mi>ψ&l...
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| Format: | Article |
| Language: | English |
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2024-12-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/14/1/1 |
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| author | Fahad M. Alamrani Ebrahem A. Algehyne Esmail Alshaban Adel Alatawi Hamid I. A. Mohammed Faizan Ahmad Khan |
| author_facet | Fahad M. Alamrani Ebrahem A. Algehyne Esmail Alshaban Adel Alatawi Hamid I. A. Mohammed Faizan Ahmad Khan |
| author_sort | Fahad M. Alamrani |
| collection | DOAJ |
| description | This paper deals with the fixed-point findings under relational strict almost <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>ϕ</mi><mo>,</mo><mi>ψ</mi><mo>)</mo></mrow></semantics></math></inline-formula>-contraction. Our findings complement and strengthen prevailing results. In the course of the procedure, we also derive a related fixed point theorem for strict almost <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>ϕ</mi><mo>,</mo><mi>ψ</mi><mo>)</mo></mrow></semantics></math></inline-formula>-contraction. We provide several illustrative examples to support the validity of our outcomes. We also argue about the possibility of a unique solution of a nonlinear Fredholm integral equation via our outcomes. |
| format | Article |
| id | doaj-art-d534ff15ec6e4b1685c0e53cfc58b277 |
| institution | Kabale University |
| issn | 2075-1680 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj-art-d534ff15ec6e4b1685c0e53cfc58b2772025-01-24T13:22:06ZengMDPI AGAxioms2075-16802024-12-01141110.3390/axioms14010001Relational Almost (<i>ϕ</i>,<i>ψ</i>)-Contractions and Applications to Nonlinear Fredholm Integral EquationsFahad M. Alamrani0Ebrahem A. Algehyne1Esmail Alshaban2Adel Alatawi3Hamid I. A. Mohammed4Faizan Ahmad Khan5Department of Mathematics, Science Faculty, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, Science Faculty, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, Science Faculty, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, Science Faculty, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, Science Faculty, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi ArabiaDepartment of Mathematics, Science Faculty, University of Tabuk, P.O. Box 741, Tabuk 71491, Saudi ArabiaThis paper deals with the fixed-point findings under relational strict almost <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>ϕ</mi><mo>,</mo><mi>ψ</mi><mo>)</mo></mrow></semantics></math></inline-formula>-contraction. Our findings complement and strengthen prevailing results. In the course of the procedure, we also derive a related fixed point theorem for strict almost <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><mi>ϕ</mi><mo>,</mo><mi>ψ</mi><mo>)</mo></mrow></semantics></math></inline-formula>-contraction. We provide several illustrative examples to support the validity of our outcomes. We also argue about the possibility of a unique solution of a nonlinear Fredholm integral equation via our outcomes.https://www.mdpi.com/2075-1680/14/1/1fixed pointsbinary relationnonlinear Fredholm integral equations |
| spellingShingle | Fahad M. Alamrani Ebrahem A. Algehyne Esmail Alshaban Adel Alatawi Hamid I. A. Mohammed Faizan Ahmad Khan Relational Almost (<i>ϕ</i>,<i>ψ</i>)-Contractions and Applications to Nonlinear Fredholm Integral Equations Axioms fixed points binary relation nonlinear Fredholm integral equations |
| title | Relational Almost (<i>ϕ</i>,<i>ψ</i>)-Contractions and Applications to Nonlinear Fredholm Integral Equations |
| title_full | Relational Almost (<i>ϕ</i>,<i>ψ</i>)-Contractions and Applications to Nonlinear Fredholm Integral Equations |
| title_fullStr | Relational Almost (<i>ϕ</i>,<i>ψ</i>)-Contractions and Applications to Nonlinear Fredholm Integral Equations |
| title_full_unstemmed | Relational Almost (<i>ϕ</i>,<i>ψ</i>)-Contractions and Applications to Nonlinear Fredholm Integral Equations |
| title_short | Relational Almost (<i>ϕ</i>,<i>ψ</i>)-Contractions and Applications to Nonlinear Fredholm Integral Equations |
| title_sort | relational almost i ϕ i i ψ i contractions and applications to nonlinear fredholm integral equations |
| topic | fixed points binary relation nonlinear Fredholm integral equations |
| url | https://www.mdpi.com/2075-1680/14/1/1 |
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