Fixed Point Theory for Multi-Valued Feng–Liu–Subrahmanyan Contractions

Abstract

In this paper, we consider several problems related to the so-called multi-valued Feng–Liu–Subrahmanyan contractions in complete metric spaces. Existence of the fixed points and of the strict fixed points, as well as data dependence and stability properties for the fixed point problem, are discussed. Some results are presented, under appropriate conditions, and some open questions are pointed out. Our results extend recent results given for multi-valued graph contractions and multi-valued Subrahmanyan contractions.

Keywords

• complete metric space
• fixed point
• data dependence
• Ulam–Hyers stability
• Ostrowski stability