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Entropy of Quantum Measurement
(MDPI, 2015-03-12)
A notion of entropy of a normal state on a finite von Neumann algebra in
Segal’s sense is considered, and its superadditivity is proven together with a necessary and
sufficient condition for its additivity. Bounds on the ...
Multivalued SK-contractions with respect to b-generalized pseudodistances
(Springer Basel, 2015-04-09)
A new class of multivalued non-self-mappings, called SK-contractions with respect to
b-generalized pseudodistances, is introduced and used to investigate the existence of
best proximity points by using an appropriate ...
Dynamic Processes, Fixed Points, Endpoints, Asymmetric Structures, and Investigations Related to Caristi, Nadler, and Banach in Uniform Spaces
(Hindawi Publishing Corporation, 2015)
In uniform spaces (...) with symmetric structures determined by the D-families of pseudometrics which define uniformity in
these spaces, the new symmetric and asymmetric structures determined by the J-families of generalized ...
Variational Methods for a Fractional Dirichlet Problem Involving Jumarie’s Derivative
(Hindawi Publishing Corporation, 2015-07-08)
We investigate a fractional Dirichlet problem involving Jumarie’s derivative. Using some variational methods a theorem on the
existence and uniqueness of a solution to such problem is proved. In the proof of the main ...
The Łojasiewicz exponent over a field of arbitrary characteristic
(Springer Verlag, 2015-01-13)
Let K be an algebraically closed field and let K((XQ)) denote the field
of generalized series with coefficients in K. We propose definitions of the local
Łojasiewicz exponent of F = ( f1, . . . , fm) ∈ K[[X, Y ]]m as ...
Przyczyny i sposoby przeciwdziałania wykluczeniu cyfrowemu
(Wydawnictwo Naukowe Uniwersytetu Szczecińskiego, 2015)
Rozwój technologii informacyjnych jest niewątpliwie jednym z najbardziej dynamicznie rozwijających się obszarów życia. W społeczeństwie powstają różnice między
osobami, które posiadają dostęp do technologii informacyjnych, ...
Monotone iterative procedure and systems of a finite number of nonlinear fractional differential equations
(Springer International Publishing, 2015-06-03)
The aim of the paper is to present a nontrivial and natural extension of the
comparison result and the monotone iterative procedure based on upper and lower
solutions, which were recently established in (Wang et al. in ...
Fixed points of dynamic processes of set-valued F-contractions and application to functional equations
(Springer International Publishing, 2015-02-11)
The article is a continuation of the investigations concerning F-contractions which have been recently introduced in [Wardowski in Fixed Point Theory Appl. 2012:94,2012]. The authors extend the concept of F-contractive ...