Geodesic
Common fixed point theorem for C-class functions in complete metric spaces with application
Filomat, Tome 36 (2022) no. 17, p. 5821

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DOI

In this paper, we establish the existence and uniqueness of common fixed point theorem for self mappings satisfying contractive condition of integral type via the concept of C-class functions in complete metric spaces. Further, we furnish an example to validate our result. Our result improves various results in the current literature. Towards the end, the existence and uniqueness of common solutions for system of functional equations arising in dynamic programming are discussed as an application of our main result.
DOI : 10.2298/FIL2217821T
Classification : 47H10, 54H25
Keywords: Fixed point, common fixed point, C-class functions, complete metric spaces 
Rakesh Tiwari; Shashi Thakur; Andreea Fulga. Common fixed point theorem for C-class functions in complete metric spaces with application. Filomat, Tome 36 (2022) no. 17, p. 5821 . doi: 10.2298/FIL2217821T
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     title = {Common fixed point theorem for {C-class} functions in complete metric spaces with application},
     journal = {Filomat},
     pages = {5821 },
     year = {2022},
     volume = {36},
     number = {17},
     doi = {10.2298/FIL2217821T},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2217821T/}
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