Multivalued weak Suzuki type \((\mathcal {\theta },{\hat{{\mathcal {R}}}})\) contractions with applications

Abstract

The purpose of this article is to put forth the idea of multivalued weak Suzuki Type \((\mathcal {\theta },{\hat{{\mathcal {R}}}})\) contractions whose single valued version is also novel in literature. A fixed point result in the frame of metric space endowed with binary relation for such a mapping is established and some examples are provided. Data dependence of fixed points and existence of solution of matrix equations are also discussed as an application of our results.