An integral theorem and its applications to coincidence theorems
An invariant for continuous mappings
An iteration for finding a common random fixed point.
An iteration process for nonlinear mappings in uniformly convex linear metric spaces
We obtain necessary conditions for convergence of the Cauchy Picard sequence of iterations for Tricomi mappings defined on a uniformly convex linear complete metric space.
An observation on Kannan mappings
In order to observe the condition of Kannan mappings more deeply, we prove a generalization of Kannan’s fixed point theorem.
An operator equation in a Tychonoff space.
An order on subsets of cone metric spaces and fixed points of set-valued contractions.
An Ulam stability result on quasi-b-metric-like spaces
In this paper a class of general type α-admissible contraction mappings on quasi-b-metric-like spaces are defined. Existence and uniqueness of fixed points for this class of mappings is discussed and the results are applied to Ulam stability problems. Various consequences of the main results are obtained and illustrative examples are presented.
Analysis on topological manifolds
Analytic Baire spaces
We generalize to the non-separable context a theorem of Levi characterizing Baire analytic spaces. This allows us to prove a joint-continuity result for non-separable normed groups, previously known only in the separable context.
Analytic sets with countable sections
Anosov theorem for coincidences on nilmanifolds
Suppose that L, L’ are simply connected nilpotent Lie groups such that the groups and in their lower central series have the same dimension. We show that the Nielsen and Lefschetz coincidence numbers of maps f,g: Γ∖L → Γ’∖L’ between nilmanifolds Γ∖L and Γ’∖L’ can be computed algebraically as follows: L(f,g) = det(G⁎ - F⁎), N(f,g) = |L(f,g)|, where F⁎, G⁎ are the matrices, with respect to any preferred bases on the uniform lattices Γ and Γ’, of the homomorphisms between the Lie algebras , ’ of...
Another characterization of absolute stability
The absolute stability of a compact set is characterized in terms of a fundamental system of positive invariant neighborhoods.
Another look at the localic Tychonoff theorem
Another semigroup characterization of the simple closed curve.
Application of fixed point theorem to best simultaneous approximation in convex metric spaces
Applications of Brézis-Browder principle to the existence of fixed points and endpoint for multifunctions.
Applications of fixed point theorems in the theory of generalized IFS.
Applications of Luzinian separation principles (non-separable case)
Approximate endpoints for set-valued contractions in metric spaces.