The equivalence of Mann iteration and Ishikawa iteration for non-Lipschitzian operators.
We introduce the relative fixed point index for a class of noncompact operators on special subsets of non locally convex spaces.
We consider a Banach space, which comes naturally from and it appears in the literature, and we prove that this space has the fixed point property for non-expansive mappings defined on weakly compact, convex sets.
In this paper, we give necessary and sufficient conditions for a point in a Musielak-Orlicz sequence space equipped with the Orlicz norm to be an H-point. We give necessary and sufficient conditions for a Musielak-Orlicz sequence space equipped with the Orlicz norm to have the Kadec-Klee property, the uniform Kadec-Klee property and to be nearly uniformly convex. We show that a Musielak-Orlicz sequence space equipped with the Orlicz norm has the fixed point property if and only if it is reflexive....
The properties of solutions of the nonlinear differential equation in a Banach space and of the special case of the homogeneous linear differential equation are studied. Theorems and conditions guaranteeing boundedness of the solution of the nonlinear equation are given on the assumption that the solutions of the linear homogeneous equation have certain properties.
We show that every subspace of finite codimension of the space C[0,1] is extremal with respect to the minimal displacement problem.
We give a lower bound for the minimal displacement characteristic in the space l ∞.
This paper discusses the notion, the properties and the application of multicores, i.e. some compact sets contained in metric spaces.