The shrinking projection method for solving variational inequality problems and fixed point problems in Banach spaces.
The super fixed point property for asymptotically nonexpansive mappings
We show that the super fixed point property for nonexpansive mappings and for asymptotically nonexpansive mappings in the intermediate sense are equivalent. As a consequence, we obtain fixed point theorems for asymptotically nonexpansive mappings in uniformly nonsquare and uniformly noncreasy Banach spaces. The results are generalized to commuting families of asymptotically nonexpansive mappings.
The topological degree and fixed points of DC-mappings
The -fixed point property for nonexpansive mappings.
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....
Towards viscosity approximations of hierarchical fixed-point problems.
Two fixed-point theorems for mappings satisfying a general contractive condition of integral type in the modular space.
Two generic results in fixed point theory
We give two examples of the generic approach to fixed point theory. The first example is concerned with the asymptotic behavior of infinite products of nonexpansive mappings in Banach spaces and the second with the existence and stability of fixed points of continuous mappings in finite-dimensional Euclidean spaces.
Two new iterative methods for a countable family of nonexpansive mappings in Hilbert spaces.
Two topological definitions of a Nielsen number for coincidences of noncompact maps.
Une fonction β-lipschitzienne qui n'est pas une perturbation compacted'une fonction dissipative
Résumé. On présente une fonction continue f: c₀ → c₀ qui satisfait à une condition lipschitzienne par rapport à la mesure de non-compacité de Hausdorff (ou Kuratowski), mais telle que f n'est pas la somme d'une fonction dissipative et d'une fonction compacte. Cet exemple attache de l'importance au théorème d'existence de Sabina Schmidt (1989) pour des équations différentielles dans les espaces de Banach.
Une propriété topologique de l'ensemble des points fixes d'une contraction multivoque à valeurs convexes
In this Note we first establish a result on the structure of the set of fixed points of a multi-valued contraction with convex values. As a consequence of this result, we then obtain the following theorem: Let , be two real Banach spaces and let be a continuous linear operator from onto . Put: . Then, for every and every lipschitzian operator , with Lipschitz constant such that , the set is non-empty and arc wise connected.
Uniformly normal structure and fixed points of uniformly Lipschitzian mappings
Viscosity approximation fixed points for nonexpansive and -accretive operators.
Viscosity approximation method for nonexpansive nonself-mapping and variational inequality.
Viscosity approximation methods for generalized mixed equilibrium problems and fixed points of a sequence of nonexpansive mappings.
Viscosity approximation methods for nonexpansive nonself-mappings in Hilbert spaces.
Viscosity approximation of common fixed points for -Lipschitzian semigroup of pseudocontractive mappings in Banach spaces.
Viscosity approximation to common fixed points of families of nonexpansive mappings with weakly contractive mappings.
Weak and strong convergence of an implicit iteration process for an asymptotically quasi-I-nonexpansive mapping in Banach space.