Abstract
Abstract In this paper we prove the existence of a fixed point for multivalued maps satisfying a contraction condition in terms of Q-functions, and via Bianchini-Grandolfi gauge functions, for complete T 0 -quasipseudometric spaces. Our results extend, improve, and generalize some recent results in the literature. We present some examples to validate and illustrate our results. MSC:54H25, 47H10, 54E50.
Highlights
Introduction and preliminariesThe notion of metric space, introduced by Fréchet [ ], is one of the cornerstones of both applied and pure mathematics
The metric space is indispensable in many branches of mathematics
We attract attention to the notion of Q-function, introduced by Al-Homidan et al [ ] in the framework of quasimetric space as an extension of the concept of w-distance defined by Kada et al [ ]
Summary
Introduction and preliminariesThe notion of metric space, introduced by Fréchet [ ], is one of the cornerstones of both applied and pure mathematics.
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