The Schauder fixed-point theorem for connectivity maps
The simultaneous nonlinear inequalities problem and applications.
The singular Cauchy-Nicoletti problem for the system of two ordinary differential equations
In the paper the singular Cauchy-Nicoletti problem for the system ot two ordinary differential equations is considered. New sufficient conditions for solvability of this problem are proved. In the proofs the topological method is applied. Some comparisons with known results are also given in the paper.
The topological degree and fixed points of DC-mappings
The topological fixed point property - an elementary continuum-theoretic approach
A set contained in a topological space has the topological fixed point property if every continuous mapping of the set into itself leaves some point fixed. In 1969, R. H. Bing published his article The Elusive Fixed Point Property, posing twelve intriguing and difficult problems, which exerted a great influence on the study of the fixed point property. We now present a survey article intended for a broad audience that reports on this area of fixed point theory. The exposition is also intended to...
The variational principle of fixed point theorems in certain fuzzy topological spaces
The main purpose of this paper is to introduce the concept of -type fuzzy topological spaces. Further variational principle and Caristi’s fixed point theorem have been extended in the -type fuzzy topological spaces.
Theorem on signatures
Théorème d'approximation et espaces de Hopf.
Théorêmes de point fixe pour les applications contractantes et anticontractantes.
Theorems on common fixed points
Theorems on mappings satisfying a rational inequality
Theorems on multifunctions satisfying a rational inequality
Théorie des points fixes. Commutativité de l'indice total
Topological and approximation methods of degree theory of set-valued maps [Book]
Topological conditions for the existence of fixed points
Topological contraction principle
Topological degree and Sperner's lemma
Topological degree theory in fuzzy metric spaces
The aim of this paper is to modify the theory to fuzzy metric spaces, a natural extension of probabilistic ones. More precisely, the modification concerns fuzzily normed linear spaces, and, after defining a fuzzy concept of completeness, fuzzy Banach spaces. After discussing some properties of mappings with compact images, we define the (Leray-Schauder) degree by a sort of colimit extension of (already assumed) finite dimensional ones. Then, several properties of thus defined concept are proved....
Topological essentiality for multivalued weighted mappings
Topological semivector spaces: convexity and fixed point theory.