On a nonlinear fractional order differential inclusion.
On a nonlinear integral equation with contractive perturbation.
On a nonlinear integral equation without compactness.
On a non-linear semi-group associated with stochastic optimal control and its excessive majorant
On a nonlocal problem for fractional integrodifferential inclusions in Banach spaces
This paper investigates a class of fractional functional integrodifferential inclusions with nonlocal conditions in Banach spaces. The existence of mild solutions of these inclusions is determined under mixed continuity and Carathéodory conditions by using strongly continuous operator semigroups and Bohnenblust-Karlin's fixed point theorem.
On a nonstandard approach to invariant measures for Markov operators
We show the existence of invariant measures for Markov-Feller operators defined on completely regular topological spaces which satisfy the classical positivity condition.
On a pair of random generalized non-linear contractions.
On a problem concerning joint approximate point spectra
On a problem of Gulevich on nonexpansive maps in uniformly convex Banach spaces
Let be a uniformly convex Banach space, , a nonexpansive map, and a closed bounded subset such that . If (1) is weakly inward and is star-shaped or (2) satisfies the Leray-Schauder boundary condition, then has a fixed point in . This is closely related to a problem of Gulevich [Gu]. Some of our main results are generalizations of theorems due to Kirk and Ray [KR] and others.
On a problem of Kadison and Singer.
On a problem of moments of S. Rolewicz
On a problem of V. Pták
On a proof of the boundedness and nuclearity of pseudodifferential operators in
On a property of Riesz spaces
On a property of weak resolvents and its application to a spectral problem
We show that the poles of a resolvent coincide with the poles of its weak resolvent up to their orders, for operators on Hilbert space which have some cyclic properties. Using this, we show that a theorem similar to the Mlak theorem holds under milder conditions, if a given operator and its adjoint have cyclic vectors.
On a quadratically convergent method using divided differences of order one under the gamma condition
We re-examine a quadratically convergent method using divided differences of order one in order to approximate a locally unique solution of an equation in a Banach space setting [4, 5, 7]. Recently in [4, 5, 7], using Lipschitz conditions, and a Newton-Kantorovich type approach, we provided a local as well as a semilocal convergence analysis for this method which compares favorably to other methods using two function evaluations such as the Steffensen’s method [1, 3, 13]. Here, we provide an analysis...
On a question of Fremlin concerning order bounded and regular operators
On a question of Mbekhta.
The present paper deals with a question of M. Mbekhta concerning partial isometries on Banach spaces.
On a Question of Pełczyński about Strictly Singular Operators
We exhibit new examples of weakly compact strictly singular operators with dual not strictly cosingular and characterize the weakly compact strictly singular surjections with strictly cosingular adjoint as those having strictly singular bitranspose. We then obtain new examples of super-strictly singular quotient maps and show that the strictly singular quotient maps in Kalton-Peck sequences are not super-strictly singular.
On a ratio ergodic theorem