g. darbo [rend. sem. math. univ. padova, 24 (1955) 84--92] used the measure of noncompactness to investigate operators whose properties can be characterized as being intermediate between those of contraction and compact operators. in this paper, we apply the darbo's fixed point theorem for solving infinite system of linear equations in some sequence spaces.

In this paper we discuss on the fixed points of asymptotic contractions and Boyd-Wong type contractions in uniform spaces equipped with an E-distance. A new version ofKirk's fixed point theorem is given for asymptotic contractions and Boyd-Wong type contractions is investigated in uniform spaces.

The purpose of this study was the effect of epithelium damage on mechanical responses of airway smooth muscles under different resting tension. We performed acetylcholine (ACh) (10(-5) M)-induced contraction on tracheal strips from 30 rabbits in five groups (0.5, 1, 1.5, 2 and 2.5 g) before and after epithelium removal. At low resting tension (0.5-1.5 g), the epithelium removal decreased the AC...

It is shown that a theorem of E. Rakotch for locally contractive mappings can be deduced from Banach's contraction mapping theorem, and a counterexample to an assertion of R. D. Holmes concerning local radial contractions is given. Let (X, d) be a metric space, k G (0, 1), and g a mapping of X into X. If for each x G X there exists a neighborhood A^(x) of x such that for each u, v G N(x), d(g(u...

In the past few decades there has been considerable interest in word maps on groups with emphasis (non-abelian) finite simple groups. Various asymptotic results (holding for sufficiently large groups) have obtained. More recently non-asymptotic all emerged, particular words (commutators and certain power words) which are not an identity of any group. this paper we initiate a systematic study ab...

Despite a high incidence of calcific aortic valve disease in metabolic syndrome, there is little information about the fundamental metabolism of heart valves. Cell metabolism is a first responder to chemical and mechanical stimuli, but it is unknown how such signals employed in valve tissue engineering impact valvular interstitial cell (VIC) biology and valvular disease pathogenesis. In this st...

It has long been accepted that M g A T P is the energy source for contraction. Evidence has also accumulated indicating that M g A T P plays an important role in the regulation of contraction (Weber and Murray, 1973; Inoue and Tonomura , 1974; Godt, 1974; Orentlicher et al., 1977). In an a t tempt to better understand the dual role of ATP in contraction, several researchers have studied the eff...

Random graphs with given expected degrees G(w) were introduced by Chung and Lu so as to extend the theory of classical G(n, p) random graphs to include random power law graphs. We investigate asymptotic results for the game of Cops and Robber played on G(w) and G(n, p). Under mild conditions on the degree sequence w, an asymptotic lower bound for the cop number of G(w) is given. We prove that t...

Assume that X and Y are independent, nonnegative d-dimensional random vectors with distribution function (d.f.) F ( x) and G( x), respectively. We are interested in estimates for the difference between the product and the convolution product of F and G, i.e., D( x) = F ( x)G( x)− F ∗G( x). Related to D( x) is the difference R( x) between the tail of the convolution and the sum of the tails: R( ...

In this paper, we introduce the notion of complex valued G-metric spaces and prove contraction principle in the newly spaces. Mathematics Subject Classification: 47H10, 54H25