Multivalued Mizoguchi-Takahashi type rational contraction in relational metric spaces

Abstract

In this paper we establish a result in the fixed point theory of multivalued mappings. This is done by combining three prevalent trends in fixed point theory. Some consequences of the main theorem are discussed. We also provide an illustrative example. The results are derived on metric spaces with a relation.

Keywords

• mt-function
• binary relation
• multivalued function
• fixed point
• rational contraction