WITHDRAWN: A fixed point theorem on Hilbert spaces for potential α-positively homogeneous operators via weak Ekeland variational principle

Vector ultrametric spaces and a fixed point theorem for correspondences

In this paper, vector ultrametric spaces are introduced and a fixed point theorem is given for correspondences. Our main result generalizes a known theorem in ordinary ultrametric spaces.

A Common Unique Fixed Point Theorem for Two Random Operators in Hilbert Spaces

A common fixed point theorem on ordered metric spaces

A common fixed point result for weakly increasing mappings satisfying generalized contractive type of Zhang in ordered metric spaces are derived.

Minimax Theorems on C1 Manifolds via Ekeland Variational Principle

Let X be a Banach space and Φ : X → R of class C1. We are interested in finding critical points for the restriction of Φ to the manifold M = {u ∈ X : G(u) = 1}, where G : X → R is a C1 function having 1 as a regular value. A point u ∈M is a critical point of the restriction of Φ to M if and only if dΦ(u)|TuM = 0 (see the definition in Section 2). Our purpose is to prove two general minimax prin...

Strong convergence theorem for a class of multiple-sets split variational inequality problems in Hilbert spaces

In this paper, we introduce a new iterative algorithm for approximating a common solution of certain class of multiple-sets split variational inequality problems. The sequence of the proposed iterative algorithm is proved to converge strongly in Hilbert spaces. As application, we obtain some strong convergence results for some classes of multiple-sets split convex minimization problems.