Geodesic
Fixed point results in m-cone metric space over Banach algebra with an application
Filomat, Tome 36 (2022) no. 16, p. 5547

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DOI

In this paper, we introduce the M-cone metric space over Banach algebra as a generalization of both M-metric space and cone metric space over Banach algebra and investigate some fixed point results in the new settings. Some examples are presented as illustrations. Finally, the results are supported by an application to examine the existence and uniqueness of solution for a Fredholm integral equation.
DOI : 10.2298/FIL2216547F
Classification : 46B20, 46B40, 46J10, 54A05, 47H10
Keywords: M-cone metric space over Banach algebra, Generalized Lipschitz mapping, Fixed point 
Jerolina Fernandez; Neeraj Malviya; Ersin Gilić. Fixed point results in m-cone metric space over Banach algebra with an application. Filomat, Tome 36 (2022) no. 16, p. 5547 . doi: 10.2298/FIL2216547F
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     author = {Jerolina Fernandez and Neeraj Malviya and Ersin Gili\'c},
     title = {Fixed point results in m-cone metric space over {Banach} algebra with an application},
     journal = {Filomat},
     pages = {5547 },
     year = {2022},
     volume = {36},
     number = {16},
     doi = {10.2298/FIL2216547F},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2216547F/}
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