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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.
Source :
Annals of the University of Craiova. Mathematics & Computer Science Series; Jun2023, Vol. 50 Issue 1, p42-52, 11p
Publication Year :
2023

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
12236934
Volume :
50
Issue :
1
Database :
Complementary Index
Journal :
Annals of the University of Craiova. Mathematics & Computer Science Series
Publication Type :
Academic Journal
Accession number :
164897625
Full Text :
https://doi.org/10.52846/ami.v50i1.1604