Abstract
Three concepts of multivalued contractions in complete metric spaces are introduced, and the conditions guaranteeing the existence of fixed points for the multivalued contractions are established. The results obtained in this paper extend genuinely a few fixed point theorems due to Ćirić (2009) Feng and Liu (2006) and Klim and Wardowski (2007). Five examples are given to explain our results.
Highlights
Introduction and PreliminariesLet X, d be a metric space, and let CL X, CB X, and C X denote the families of all nonempty closed, all nonempty closed and bounded, and all nonempty compact subsets of X, respectively
Five nontrivial examples are given to show that the results presented in this paper generalize substantially and unify the corresponding fixed point theorems of Ciric 2, Feng and Liu 3, and Klim and Wardowski 5 and are different from those results of Mizoguchi and Takahashi 6 and Nadler Jr 7
We establish three fixed point theorems for three new multivalued contractions in complete metric spaces
Summary
Introduction and PreliminariesLet X, d be a metric space, and let CL X , CB X , and C X denote the families of all nonempty closed, all nonempty closed and bounded, and all nonempty compact subsets of X, respectively.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
