Abstract
AbstractThe purpose of this paper is to present several existence and data dependence results of the fixed points of some multivalued generalized contractions in complete metric spaces. As for application, a continuation result is given.
Highlights
Throughout this paper, the standard notations and terminologies in nonlinear analysis are used
By B(x0, r) we denote the closed ball centered in x0 ∈ X with radius r > 0
For T : X → P(X) the symbol Fix(T) := {x ∈ X | x ∈ T(x)} denotes the fixed point set of the set-valued operator T, while S Fix(T) := {x ∈ X | {x} = T(x)} is the strict fixed point set of T
Summary
Throughout this paper, the standard notations and terminologies in nonlinear analysis (see [14, 15]) are used. By B(x0, r) we denote the closed ball centered in x0 ∈ X with radius r > 0. We will use the following symbols: P(X) := Y ⊂ X | Y is nonempty , Pcl(X) := Y ∈ P(X) | Y is closed , Pb(X) := Y ∈ P(X) | Y is bounded , Pb,cl(X) := Pcl(X) ∩ Pb(X). Let A and B be nonempty subsets of the metric space (X,d). D(x0, B) = D({x0}, B) (where x0 ∈ X) is called the distance from the point x0 to the set B
Sign-in/Register to view highlights & summary 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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
