Topological degree for ultimately compact multivalued vector fields in topological vector spaces
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 entropy and differential equations
On the background of a brief survey panorama of results on the topic in the title, one new theorem is presented concerning a positive topological entropy (i.e. topological chaos) for the impulsive differential equations on the Cartesian product of compact intervals, which is positively invariant under the composition of the associated Poincaré translation operator with a multivalued upper semicontinuous impulsive mapping.
Topological essentiality for multivalued weighted mappings
Topological properties of nonlinear evolution equations
Topological semivector spaces: convexity and fixed point theory.
Topological structure of solution sets: current results
Towards viscosity approximations of hierarchical fixed-point problems.
Tracking control of a flexible beam by nonlinear boundary feedback.
Transfer positive hemicontinuity and zeros, coincidences, and fixed points of maps in topological vector spaces.
Transfinite methods in metric fixed-point theory.
Triangle contractive self maps of a Hilbert space
Triangle contractive self maps of the plane
Truncated gradient flows of the van der Waals free energy.
Truncated spectral regularization for an ill-posed non-linear parabolic problem
It is known that the nonlinear nonhomogeneous backward Cauchy problem , with , where is a densely defined positive self-adjoint unbounded operator on a Hilbert space, is ill-posed in the sense that small perturbations in the final value can lead to large deviations in the solution. We show, under suitable conditions on and , that a solution of the above problem satisfies an integral equation involving the spectral representation of , which is also ill-posed. Spectral truncation is used...
T-stability approach to variational iteration method for solving integral equations.
Two fixed point theorems for abstract Markov operators.
Two fixed-point theorems for mappings satisfying a general contractive condition of integral type in the modular space.
Two fixed-point theorems for mappings satisfying a general contractive condition of integral type.
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.