Common fixed point result for multivalued mappings with applications to systems of integral and functional equations

Binayak S Choudhury, Nikhilesh Metiya, Sunirmal Kundu, Amaresh Kundu

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.

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DOI: https://doi.org/10.52846/ami.v50i1.1604