Geodesic
On symmetric Meir-Keeler contraction type couplings with an application
Filomat, Tome 36 (2022) no. 9, p. 2911

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DOI

Recently, a class of mappings named as couplings was introduced in [U.P.B. Sci. Bull. Series A, 79 (2017), 1-12]. Based on this concept, we introduce symmetric Meir-Keeler couplings and we ensure the existence of strong coupled fixed points. We present some concrete examples to support the obtained results. Furthermore, as an application of our results, we investigate the existence of a unique solution to a system of integral equations.
DOI : 10.2298/FIL2209911A
Classification : 47H10, 54H25, 46J10
Keywords: Coupled fixed point, symmetric Meir-Keeler contraction type couplings, metric space, integral equation 
Hassen Aydi; Hüsein Işık; M A Barakat; Abdelbasset Felhi. On symmetric Meir-Keeler contraction type couplings with an application. Filomat, Tome 36 (2022) no. 9, p. 2911 . doi: 10.2298/FIL2209911A
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     author = {Hassen Aydi and H\"usein I\c{s}{\i}k and M A Barakat and Abdelbasset Felhi},
     title = {On symmetric {Meir-Keeler} contraction type couplings with an application},
     journal = {Filomat},
     pages = {2911 },
     year = {2022},
     volume = {36},
     number = {9},
     doi = {10.2298/FIL2209911A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2209911A/}
}
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