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- Title
A novel study for hybrid pair of multivalued dominated mappings in b-multiplicative metric space with applications.
- Authors
Rasham, Tahair; De La Sen, Manuel
- 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.
- Subjects
METRIC spaces; SET-valued maps; NONLINEAR integral equations; FUNCTIONAL equations; FIXED point theory; DYNAMIC programming
- Publication
Journal of Inequalities & Applications, 2022, Vol 2022, Issue 1, p1
- ISSN
1025-5834
- Publication type
Article
- DOI
10.1186/s13660-022-02845-6