Applications of Coupled Fixed Points for Multivalued Maps in the Equilibrium in Duopoly Markets and in Aquatic Ecosystems

Gana Gecheva; Miroslav Hristov; Diana Nedelcheva; Margarita Ruseva; Boyan Zlatanov

doi:10.3390/axioms10020044

Axioms (Mar 2021)

Applications of Coupled Fixed Points for Multivalued Maps in the Equilibrium in Duopoly Markets and in Aquatic Ecosystems

Gana Gecheva,
Miroslav Hristov,
Diana Nedelcheva,
Margarita Ruseva,
Boyan Zlatanov

Affiliations

Gana Gecheva: Department of Ecology and Environmental Conservation, Faculty of Biology, University of Plovdiv “Paisii Hilendarski”, 24 Tzar Assen Str., 4000 Plovdiv, Bulgaria
Miroslav Hristov: Department of Algebra and Geometry, Faculty of Mathematics and Computer Science, University of Shumen “Konstantin Preslavsky”, 115 Universitetska Str., 9700 Shumen, Bulgaria
Diana Nedelcheva: Department of Mathematics and Physics, Faculty of Electrical Engineering, Technical University of Varna, 1 Studentska Str., 9000 Varna, Bulgaria
Margarita Ruseva: Department of Management and Quantitative Economicsx, Faculty of Economics and Social Sciences, University of Plovdiv “Paisii Hilendarski”, 24 Tzar Assen Str., 4000 Plovdiv, Bulgaria
Boyan Zlatanov: Department of Mathematical Analysis, Faculty of Mathematics and Informatics, University of Plovdiv “Paisii Hilendarski”, 24 Tzar Assen Str., 4000 Plovdiv, Bulgaria

DOI: https://doi.org/10.3390/axioms10020044
Journal volume & issue: Vol. 10, no. 2
p. 44

Abstract

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We have obtained a new class of ordered pairs of multivalued maps that have pairs of coupled fixed points. We illustrate the main result with two examples that cover a wide range of models. We apply the main result in models in duopoly markets to get a market equilibrium and in aquatic ecosystems, also to get an equilibrium.

Published in Axioms

ISSN: 2075-1680 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/axioms

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