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Necessary and Sufficient Conditions for Robust Minimal Solutions in Uncertain Vector Optimization
(Springer Nature, 2020)We introduce a new notion of a vectorbased robust minimal solution for a vectorvalued uncertain optimization problem, which is defined by means of some open cone. We present necessary and sufficient conditions for this ... 
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 ... 
Multi PingPong 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 pingpong game with several players located anywhere in the group. 
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, ... 
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 ... 
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 ... 
Best Proximity Point Theorem in QuasiPseudometric Spaces
(Hindawi, 2016)In quasipseudometric spaces (not necessarily sequentially complete), we continue the research on the quasigeneralized pseudodistances. We introduce the concepts of semiquasiclosed map and contraction of Nadler type with ... 
Generalized gradients on Lie algebroids
(Springer Netherlands, 2013)Generalized O(n) gradients for connections on Lie algebroids are derived. 
Variational Methods for a Fractional Dirichlet Problem Involving Jumarie’s Derivative
(Hindawi Publishing Corporation, 20150708)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 ... 
Cloning by positive maps in von Neumann algebras
(Springer Basel, 20140619)We investigate cloning in the general operator algebra framework in arbitrary dimension assuming only positivity instead of strong positivity of the cloning operation, generalizing thus results obtained so far under that ... 
Monotone iterative procedure and systems of a finite number of nonlinear fractional differential equations
(Springer International Publishing, 20150603)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 ... 
The Łojasiewicz exponent over a field of arbitrary characteristic
(Springer Verlag, 20150113)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 ... 
Multivalued SKcontractions with respect to bgeneralized pseudodistances
(Springer Basel, 20150409)A new class of multivalued nonselfmappings, called SKcontractions with respect to bgeneralized pseudodistances, is introduced and used to investigate the existence of best proximity points by using an appropriate ... 
Entropy of Quantum Measurement
(MDPI, 20150312)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 ... 
Sufficient optimality criteria and duality for multiobjective variational control problems with Gtype I objective and constraint functions
(Springer, 20140605)In the paper, we introduce the concepts of Gtype I and generalized Gtype I functions for a new class of nonconvex multiobjective variational control problems. For such nonconvex vector optimization problems, we prove ... 
Stability of Nonlinear Dirichlet BVPs Governed by Fractional Laplacian
(Hindawi Publishing Corporation, 20140302)We consider a class of partial differential equations with the fractional Laplacian and the homogeneous Dirichlet boundary data. Some sufficient condition under which the solutions of the equations considered depend ... 
Hausdorff quasidistances, periodic and fixed points for Nadler type setvalued contractions in quasigauge spaces
(Springer, 20141205)In a quasigauge space (X,P) with quasigauge , using the left (right) families of generalized quasipseudodistances on X (families on X generalize quasigauge ), the left (right) quasidistances DL−Jη ( DR−Jη) of Hausdorff ... 
New generalized fuzzy metrics and fixed point theorem in fuzzy metric space
(Springer, 20141208)In this paper, in fuzzy metric spaces (in the sense of Kramosil and Michalek (Kibernetika 11:336344, 1957)) we introduce the concept of a generalized fuzzy metric which is the extension of a fuzzy metric. First, inspired ... 
On best proximity points for setvalued contractions of Nadler type with respect to bgeneralized pseudodistances in bmetric spaces
(Springer, 20140214)In this paper, in bmetric space, we introduce the concept of bgeneralized pseudodistance which is an extension of the bmetric. Next, inspired by the ideas of Nadler (Pac. J. Math. 30:475488, 1969) and Abkar and Gabeleh ... 
State Determination and Sufficiency of Observables
(Springer, 20130519)Informational completeness and the possibility of state distinction and determination are among the more important issues of quantum statistics. We use spectral and semispectral (POV) measures to analyse these questions. ...