The Extended Cone b -Metric-like Spaces over Banach Algebra and Some Applications

Jerolina Fernandez, Neeraj Malviya, Ana Savić, Marija Paunović and Zoran D. Mitrović
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Jerolina Fernandez: Department of Science, The Bhopal School of Social Sciences, Bhopal 462024, India
Neeraj Malviya: Department of Mathematics, Government College, Timarni 461228, India
Ana Savić: School of Electrical and Computer Engineering of Applied Studies, Academy of Technical and Art Applied Studies, 11070 Belgrade, Serbia
Marija Paunović: Faculty of Hotel Management and Tourism, University of Kragujevac, 36210 Kragujevac, Serbia
Zoran D. Mitrović: Faculty of Electrical Engineering, University of Banja Luka, Patre 5, 78000 Banja Luka, Bosnia and Herzegovina

Mathematics, 2022, vol. 10, issue 1, 1-11

Abstract: In this paper, we introduce the structure of extended cone b -metric-like spaces over Banach algebra as a generalization of cone b -metric-like spaces over Banach algebra. In this generalized space we define the notion of generalized Lipschitz mappings in the setup of extended cone b -metric-like spaces over Banach algebra and investigated some fixed point results. We also provide examples to illustrate the results presented herein. Finally, as an application of our main result, we examine the existence and uniqueness of solution for a Fredholm integral equation.

Keywords: extended cone b -metric-like spaces over Banach algebra; generalized Lipschitz mapping; fixed point (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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