Geodesic
An extension of Karapinar and Sadaranganis' result through the C-class functions by using α-admissible mapping with applications
Filomat, Tome 35 (2021) no. 3, p. 973

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DOI

The main objective of this work is to introduce a new type of non-linear contraction via C-class functions by using α-admissible mapping. Our new results extend and generalize the very recent results of Karapinar and Sadarangani (2015. RACSAM. [37]). Illustrative examples are given to support our new findings. We have shown that our results satisfy the periodic fixed point results after modifying the contraction. Next, we extend our main findings from a self-mapping T to two self-mappings T; S. Also, an example is provided to justify the effectiveness of our new result on two self mappings, where the partially ordered structure fails. Finally, we apply our new findings to solve ordinary differential and non-linear integral equations
DOI : 10.2298/FIL2103973G
Classification : 47H09, 47H10, 54H25
Keywords: α−admissible mapping, C-class function, Berinde type mappings, Hölder’s inequality, Ordinary differential equations, Non-linear integral equations 
Sudipta Kumar Ghosh; C Nahak. An extension of Karapinar and Sadaranganis' result through the C-class functions by using α-admissible mapping with applications. Filomat, Tome 35 (2021) no. 3, p. 973 . doi: 10.2298/FIL2103973G
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     author = {Sudipta Kumar Ghosh and C Nahak},
     title = {An extension of {Karapinar} and {Sadaranganis'} result through the {C-class} functions by using \ensuremath{\alpha}-admissible mapping with applications},
     journal = {Filomat},
     pages = {973 },
     year = {2021},
     volume = {35},
     number = {3},
     doi = {10.2298/FIL2103973G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2103973G/}
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