Rational Fuzzy Cone Contractions on Fuzzy Cone Metric Spaces with an Application to Fredholm Integral Equations
This paper is aimed at proving some common fixed point theorems for mappings involving generalized rational-type fuzzy cone-contraction conditions in fuzzy cone metric spaces. Some illustrative examples are presented to support our work. Moreover, as an application, we ensure the existence of a comm...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5527864 |
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| author | Saif Ur Rehman Hassen Aydi |
| author_facet | Saif Ur Rehman Hassen Aydi |
| author_sort | Saif Ur Rehman |
| collection | DOAJ |
| description | This paper is aimed at proving some common fixed point theorems for mappings involving generalized rational-type fuzzy cone-contraction conditions in fuzzy cone metric spaces. Some illustrative examples are presented to support our work. Moreover, as an application, we ensure the existence of a common solution of the Fredholm integral equations: μτ=∫0τΓτ,v,μvdv and ντ=∫0τΓτ,v,νvdv, for all μ∈U, v∈0,η, and 0<η∈ℝ, where U=C0,η,ℝ is the space of all ℝ-valued continuous functions on the interval 0,η and Γ:0,η×0,η×ℝ⟶ℝ. |
| format | Article |
| id | doaj-art-5da0c8ef7ffd45e6b9e41f1c037ea0d1 |
| institution | OA Journals |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-5da0c8ef7ffd45e6b9e41f1c037ea0d12025-08-20T02:06:03ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55278645527864Rational Fuzzy Cone Contractions on Fuzzy Cone Metric Spaces with an Application to Fredholm Integral EquationsSaif Ur Rehman0Hassen Aydi1Department of Mathematics, Gomal University, Dera Ismail Khan 29050, PakistanInstitut Supérieur d’Informatique et des Techniques de Communication, Université de Sousse, H. Sousse, TunisiaThis paper is aimed at proving some common fixed point theorems for mappings involving generalized rational-type fuzzy cone-contraction conditions in fuzzy cone metric spaces. Some illustrative examples are presented to support our work. Moreover, as an application, we ensure the existence of a common solution of the Fredholm integral equations: μτ=∫0τΓτ,v,μvdv and ντ=∫0τΓτ,v,νvdv, for all μ∈U, v∈0,η, and 0<η∈ℝ, where U=C0,η,ℝ is the space of all ℝ-valued continuous functions on the interval 0,η and Γ:0,η×0,η×ℝ⟶ℝ.http://dx.doi.org/10.1155/2021/5527864 |
| spellingShingle | Saif Ur Rehman Hassen Aydi Rational Fuzzy Cone Contractions on Fuzzy Cone Metric Spaces with an Application to Fredholm Integral Equations Journal of Function Spaces |
| title | Rational Fuzzy Cone Contractions on Fuzzy Cone Metric Spaces with an Application to Fredholm Integral Equations |
| title_full | Rational Fuzzy Cone Contractions on Fuzzy Cone Metric Spaces with an Application to Fredholm Integral Equations |
| title_fullStr | Rational Fuzzy Cone Contractions on Fuzzy Cone Metric Spaces with an Application to Fredholm Integral Equations |
| title_full_unstemmed | Rational Fuzzy Cone Contractions on Fuzzy Cone Metric Spaces with an Application to Fredholm Integral Equations |
| title_short | Rational Fuzzy Cone Contractions on Fuzzy Cone Metric Spaces with an Application to Fredholm Integral Equations |
| title_sort | rational fuzzy cone contractions on fuzzy cone metric spaces with an application to fredholm integral equations |
| url | http://dx.doi.org/10.1155/2021/5527864 |
| work_keys_str_mv | AT saifurrehman rationalfuzzyconecontractionsonfuzzyconemetricspaceswithanapplicationtofredholmintegralequations AT hassenaydi rationalfuzzyconecontractionsonfuzzyconemetricspaceswithanapplicationtofredholmintegralequations |