A novel study for hybrid pair of multivalued dominated mappings in b-multiplicative metric space with applications

Autor: Tahair Rasham, Manuel De La Sen
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-15 (2022)
Druh dokumentu: article
ISSN: 1029-242X
DOI: 10.1186/s13660-022-02845-6
Popis: Abstract The aim of this paper is to prove some new fixed point results for a pair of multivalued dominated locally contractive mappings in b-multiplicative metric space. Further, fixed point theorems for multigraph-dominated mappings are also established. Some new fixed point results on a closed ball are obtained for a pair of multigraph-dominated mappings endowed with graphic structure in b-multiplicative metric space. An illustrative example is given to show the validity of the hypothesis of our obtained result. Moreover, applications for a coupled system of nonlinear Volterra-type integral equations and functional equations in dynamic programming are presented to show the novelty of our results.
Databáze: Directory of Open Access Journals
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