Geodesic
Solving integral equations via admissible contraction mappings
Filomat, Tome 36 (2022) no. 14, p. 4947

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DOI

In this article, we introduce a new concept of admissible contraction and prove fixed point theorems which generalize Banach contraction principle in a different way more than in the known results from the literature. The article includes an example which shows the validity of our results, and additionally we obtain a solution of integral equation by admissible contraction mapping in the setting of b-metric spaces.
DOI : 10.2298/FIL2214947N
Classification : 47H10, 54H25
Keywords: Fixed point, b-metric spaces, b-metric-like spaces, α-admissible, applications 
Gunasekaran Nallaselli; Arul Joseph Gnanaprakasam; Gunaseelan Mani; Ozgur Ege. Solving integral equations via admissible contraction mappings. Filomat, Tome 36 (2022) no. 14, p. 4947 . doi: 10.2298/FIL2214947N
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     title = {Solving integral equations via admissible contraction mappings},
     journal = {Filomat},
     pages = {4947 },
     year = {2022},
     volume = {36},
     number = {14},
     doi = {10.2298/FIL2214947N},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2214947N/}
}
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