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- Title
Common fixed point result for multivalued mappings with applications to systems of integral and functional equations.
- Authors
CHOUDHURY, BINAYAK S.; METIYA, N.; KUNDU, S.; KUNDU, A.
- Abstract
In this paper, we establish a common fixed point theorem for two multivalued mappings satisfying some dominated conditions on a complete metric space. This new rational type contractive inequality refines various results in the literature. The main theorem is illustrated with examples. As application, we found the existence of solutions of system nonlinear integral equations and functional equations.
- Subjects
MATHEMATICAL mappings; FUNCTIONAL equations; SET-valued maps; INTEGRAL equations; NONLINEAR integral equations; NONLINEAR equations; NONLINEAR functional analysis; METRIC spaces
- Publication
Annals of the University of Craiova. Mathematics & Computer Science Series, 2023, Vol 50, Issue 1, p42
- ISSN
1223-6934
- Publication type
Article
- DOI
10.52846/ami.v50i1.1604