Let $ H$ be a Hilbert space and $C$ be a closed, convex and nonempty subset of $H$. Let $T:C rightarrow H$ be a non-self and non-expansive mapping. V. Colao and G. Marino with particular choice of the sequence  ${alpha_{n}}$ in Krasonselskii-Mann algorithm, ${x}_{n+1}={alpha}_{n}{x}_{n}+(1-{alpha}_{n})T({x}_{n}),$ proved both weak and strong converging results. In this paper, we generalize thei...

Infiltration is one of the most important hydraulic parameters affecting surface irrigation and one ofthe most difficult parameters in practical field determinations. The infiltration equations are used todescribe water flow hydraulics and surface irrigation systems design. But determination of theparameters in these equations are costly and time consuming. Therefore, some estimating methods ar...

in this paper, we prove the generalized hyers-ulam(or hyers-ulam-rassias ) stability of the following composite functional equation f(f(x)-f(y))=f(x+y)+f(x-y)-f(x)-f(y) in various normed spaces.

we present an improved version of a full nesterov-todd step infeasible interior-point method for linear complementarityproblem over symmetric cone (bull. iranian math. soc.,40(3), 541-564, (2014)). in the earlier version, each iteration consistedof one so-called feasibility step and a few -at most three -centering steps. here, each iteration consists of only a feasibilitystep. thus, the new alg...

abstract: enviromental concerns, improvements in renewable energy technologies, governmental incentives for the use of these resources, and increased t&d; costs, are the main factors driving the energy sector into a new era, where considerable portions of electrical demand will be met through widespread installation of distributed energy resources (ders). the virtual power plant (vpp) is a dece...