Eigenwertaussagen für kompakte und kondensierende mengenwertige Abbildungen in topologischen Vektorräumen
Ein Homotopieerweiterungssatz für konzentrierende mengenwertige Abbildungen in lokalkonvexen topologischen Vektorräumen
Ein „merkwürdiges” Spektrum für nichtlineare Operatoren
We define a spectrum for Lipschitz continuous nonlinear operators in Banach spaces by means of a certain kind of "pseudo-adjoint" and study some of its properties.
Ein Störungssatz für positive Eigenwerte kondensierender mengenwertiger Abbildungen in lokalkonvexen topologischen Vektorräumen
Eine Bemerkung über a-priori-Fixpunkte nicht-expansiver Abbildungen.
Equivalence and stability of random fixed point iterative procedures.
Ergodic retractions for families of asymptotically nonexpansive mappings.
Erratum to “Iterative methods for variational inequalities over the intersection of the fixed points set of a nonexpansive semigroup in Banach spaces”.
Evolution equations in discrete and continuous time for nonexpansive operators in Banach spaces
We consider some discrete and continuous dynamics in a Banach space involving a non expansive operator J and a corresponding family of strictly contracting operators Φ (λ, x): = λ J(x) for λ ∈ ] 0,1] . Our motivation comes from the study of two-player zero-sum repeated games, where the value of the n-stage game (resp. the value of the λ-discounted game) satisfies the relation vn = Φ(, ) (resp. = Φ(λ, )) where J is the Shapley operator of the game. We study the evolution equation u'(t) =...
Existence and number of solutions to semilinear equations with applications to boundary-value problems.
Existence of a common solution for a system of nonlinear integral equations via fixed point methods inb-metric spaces
In this paper we introduce a property and use this property to prove some common fixed point theorems in b-metric space. We also give some fixed point results on b-metric spaces endowed with an arbitrary binary relation which can be regarded as consequences of our main results. As applications, we applying our result to prove the existence of a common solution for the following system of integral equations: x (t) = ∫ a b K 1 (t,r,x(r)) dr, x (t) = ∫ a b K 2 (t,r,x(r)) dr, where a, b...
Existence of fixed points of firmly nonexpansive-like mappings in Banach spaces.
Existence of solutions for semilinear differential equations with nonlocal conditions in Banach spaces.
Existence of solutions of an integral equation of Chandrasekhar type in the theory of radiative transfer.
Existence of solutions of th order impulsive integro-differential equations in Banach spaces.
Existence theorem for the Hammerstein integral equation
In this paper we prove an existence theorem for the Hammerstein integral equation , where the integral is taken in the sense of Pettis. In this theorem continuity assumptions for f are replaced by weak sequential continuity and the compactness condition is expressed in terms of the measures of weak noncompactness. Our equation is considered in general Banach spaces.
Existence theory for nonlinear Volterra integral and differential equations.
Extensions of nonexpansive mappings in the Hilbert ball with the hyperbolic metric. I.
Extensions of nonexpansive mappings in the Hilbert ball with the hyperbolic metric. II.