The Banach contraction principle is one of the pivotal results in the metric fixed-point theory. It is a popular tool for the solution of existence problems in various fields of mathematics. There are several generalizations of the Banach contraction principle in the related literature on the metric fixed-point theory. Ran and Reurings [15] extended the Banach contraction principle in partially...

Using a contraction procedure, we construct a twist operator that satisfies a shifted cocycle condition, and leads to the Jordanian quasi-Hopf Uh;y(sl(2)) algebra. The corresponding universal Rh(y) matrix obeys a Gervais-Neveu-Felder equation associated with the Uh;y(sl(2)) algebra. For a class of representations, the dynamical Yang-Baxter equation may be expressed as a compatibility condition ...

Let X be a real Banach space with a normalized duality mapping uniformly norm-to-weak continuous on bounded sets or a reflexive Banach space which admits a weakly continuous duality mapping JΦ with gauge φ. Let f be an α-contraction and {Tn} a sequence of nonexpansive mapping, we study the strong convergence of explicit iterative schemes xn+1 = αnf(xn) + (1− αn)Tnxn (1) with a general theorem a...

By embedding Einstein’s original formulation of GR into a broader context we show that a dynamic covariant description of gravitational stress-energy emerges naturally from a variational principle. A tensor TG is constructed from a contraction of the Bel tensor with a symmetric covariant second degree tensor field Φ and has a form analogous to the stress-energy tensor of the Maxwell field in an...

This research revises, develops and offers empirical evidence to two assumptions discussed in Pesetsky & Torrego’s (2007) theory which claims that tense feature [T] is associated with expressed on DPs syntax. Investigating the syntax of a T-marker tau, used Najdi Arabic, contexts where tau interacts spine clause, provided assumed be generated spelled out at PF. takes place by minimalist str...

BACKGROUND AND OBJECTIVES: Over recent years the employment creation discussion was massively raised especially about university graduates and demands from Iran's government increased. The prediction of the youth unemployment rate during the period from 2015 to 2021 showed that with an annual growth rate of 5%, in the last year of the period, the unemployment rate for youth wou...