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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 ... -
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 ... -
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 ... -
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 ... -
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 ... -
Best Proximity Point Theorem in Quasi-Pseudometric Spaces
(Hindawi, 2016)In quasi-pseudometric spaces (not necessarily sequentially complete), we continue the research on the quasi-generalized pseudodistances. We introduce the concepts of semiquasiclosed map and contraction of Nadler type with ... -
Cytokine profiling in exhaled breath condensate after exercise challenge in asthmatic children with post-exercise symptoms
(Termedia Publishing House, 2016)Introduction: Markers of exhaled breath condensate (EBC) correlate with lung function impairment, airway remodeling and different aspects of the disease such as exercise-induced bronchoconstriction (EIB). Aim of the study ... -
Comparison of ultrasound image filtering methods by means of multivariable kurtosis
(International Society for Stereology & Image Analysis, 2017)Comparison of the quality of despeckled US medical images is complicated because there is no image of a human body that would be free of speckles and could serve as a reference. A number of various image metrics are ... -
Multi Ping-Pong and an Entropy Estimate in Groups
(De Gruyter, 2018)We provide an entropy estimate from below for a finitely generated group of transformation of a compact metric space which contains a ping-pong game with several players located anywhere in the group. -
The Łojasiewicz Exponent at Infinity of Non-negative and Non-degenerate Polynomials
(Springer Nature, 2018)Let f be a real polynomial, non-negative at infinity with non-compact zero-set. Suppose that f is non-degenerate in the Kushnirenko sense at infinity. In this paper we give a formula for the Łojasiewicz exponent at infinity ... -
An integral formula for Riemannian G-structures with applications to almost Hermitian and almost contact structures
(Springer Nature, 2019)For a Riemannian G-structure, we compute the divergence of the vector field induced by the intrinsic torsion. Applying the Stokes theorem, we obtain the integral formula on a closed oriented Riemannian manifold, which we ... -
Milnor Numbers of Deformations of Semi-Quasi-Homogeneous Plane Curve Singularities
(Springer Nature, 2019)The aim of this paper is to show the possible Milnor numbers of deformations of semi-quasi-homogeneous isolated plane curve singularity f. Assuming that f is irreducible, one can write f=∑qα+pβ ≥ pqcαβ xαyβ where cp0c0q≠0, ... -
On the lattice of polynomials with integer coefficients: successive minima in L2 (0, 1)
(Instytut Matematyczny Polskiej Akademii Nauk, 2020) -
On conformal submersions with geodesic or minimal fibers
(Springer, 2020)We prove that every conformal submersion from a round sphere onto an Einstein manifold with fbers being geodesics is—up to an isometry—the Hopf fbration composed with a conformal difeomorphism of the complex projective ... -
On a Nonsmooth Gauss–Newton Algorithms for Solving Nonlinear Complementarity Problems
(MDPI, 2020)In this paper, we propose a new version of the generalized damped Gauss–Newton method for solving nonlinear complementarity problems based on the transformation to the nonsmooth equation, which is equivalent to some ... -
Necessary and Sufficient Conditions for Robust Minimal Solutions in Uncertain Vector Optimization
(Springer Nature, 2020)We introduce a new notion of a vector-based robust minimal solution for a vector-valued uncertain optimization problem, which is defined by means of some open cone. We present necessary and sufficient conditions for this ... -
Stress and Anxiety Levels in Pregnant and Post-Partum Women during the COVID-19 Pandemic
(MDPI, 2020)The aim of this study was to analyze stress and anxiety levels experienced by pregnant and post-partum women during the COVID-19 pandemic, as well as to indicate the social and medical factors that could contribute to ... -
Using multitype branching models to analyze bacterial pathogenicity
(Polskie Towarzystwo Matematyczne, 2020)We apply multitype, continuous time, Markov branching models to study pathogenicity in E. coli, a bacterium belonging to the genus Escherichia. First, we examine briefly, the properties of multitype branching processes and ... -
Linear combination of projections in von Neumann factors
(Springer Nature, 2020)It is shown that any self-adjoint operator in a finite discrete or infinite von Neumann factor can be written as a real linear combination of 4 projections. On the other hand, in any type II1 algebra and in any type II∞ ...