A Suzuki type coupled fixed point theorem for generalized multivalued mapping
Summary: We obtain a new Suzuki type coupled fixed point theorem for a multivalued mapping \(T\) from \(X \times X\) into \(\mathrm{CB}(X)\), satisfying a generalized contraction condition in a complete metric space. Our result unifies and generalizes various known comparable results in the literature. We also give an application to certain functional equations arising in dynamic programming. Editorial remark: See also [\textit{H. H. Alsulami} et al., Abstr. Appl. Anal. 2014, Article ID 235731, 8 p. (2014; Zbl 1469.54049)].
scientific article; zbMATH DE number 7023143