2 citations · 2 across the 8 of their papers we have counts for
8 papers
An integral formula for the inhomogeneous Jordan--von Neumann equation
Alexandra Paicu, Dorian Popa, Mircea Dan Rus
We study the inhomogeneous form of the Jordan--von Neumann quadratic functional equation, in which the right-hand side is a prescribed function of two real variables. We prove…
Yet another note on notation
Mircea Dan Rus
Back in 1755, Euler explored an interesting array of numbers that now frequently appears in polynomial identities, combinatorial problems, and finite calculus, among other places.…
Vortex sheet solutions for the Ginzburg-Landau system in cylinders: symmetry and global minimality
Radu Ignat, Mircea Rus
We consider the Ginzburg-Landau energy for -valued maps defined in a cylinder shape domain satisfying a degree-one vortex boundary condition…
Counting the lattice rectangles inside Aztec diamonds and square biscuits
Teofil Bogdan, Mircea Dan Rus
We are counting the lattice rectangles that can be constructed inside several planar shapes and identify the corresponding sequences in the OEIS.
Normal Cones and Thompson Metric
Ştefan Cobzaş, Mircea Dan Rus
The aim of this paper is to study the basic properties of the Thompson metric in the general case of a real linear space ordered by a cone . We show that has mon…
The Method of Monotone Iterations for Mixed Monotone Operators in Partially Ordered Sets and Order-Attractive Fixed Points
Mircea-Dan Rus
We use the method of monotone iterations to obtain fixed point and coupled fixed point results for mixed monotone operators in the setting of partially ordered sets, with no additi…
Fixed point theorems for --contractive mappings of Meir--Keeler type and applications
Maher Berzig, Mircea-Dan Rus
In this paper, we introduce the notion of --contractive mapping of Meir--Keeler type in complete metric spaces and prove new theorems which assure the existence, uniqueness and…
The fixed point problem for systems of coordinate-wise monotone operators and applications
Mircea-Dan Rus
We study the fixed point problem for a system of multivariate operators that are coordinate-wise monotone (i.e., nondecreasing or nonincreasing in each of the variables, independen…