Celery (Apium graveolens L.) is a well- known plant and at the basis of culinary tradition different populations. In Italy, several celery ecotypes, presenting unique peculiarities, are grown by small local producers, they need to be characterized, in order protected safeguarded. The present work aims developing fast non-destructive method for discrimination common (the "Elne" celery) from typi...

In this paper, we propose a new iterative scheme with the help of gradient- projection algorithm (GPA) for finding common solution an equilibrium problem, constrained convex minimization and fixed point problem. Then, prove some strong convergence theorems which improve extend recent results. Moreover, give numerical result to show validity our main theorem.

Some new forward–backward multi-choice iterative algorithms with superposition perturbations are presented in a real Hilbert space for approximating common solution of monotone inclusions and variational inequalities. ideas constructing elements can be found strong convergence theorems proved under mild restrictions, which extend complement some already existing work.

We introduce a general implicit algorithm for finding a common element of‎ ‎the set of solutions of systems of equilibrium problems and the set of common fixed points‎ ‎of a sequence of nonexpansive mappings and a continuous representation of nonexpansive mappings‎. ‎Then we prove the strong convergence of the proposed implicit scheme to the unique solution of the minimization problem on the so...

We derive the formulas of the maximal andminimal ranks of four real matrices $X_{1},X_{2},X_{3}$ and $X_{4}$in common solution $X=X_{1}+X_{2}i+X_{3}j+X_{4}k$ to quaternionmatrix equations $A_{1}X=C_{1},XB_{2}=C_{2},A_{3}XB_{3}=C_{3}$. Asapplications, we establish necessary and sufficient conditions forthe existence of the common real and complex solutions to the matrixequations. We give the exp...