Recently, Choudhury and Metiya [Fixed points of weak contractions in cone metric spaces, Nonlinear Analysis 72 (2010) 1589-1593] proved some fixed point theorems for weak contractions in cone metric spaces. Weak contractions are generalizations of the Banach's contraction mapping, which have been studied by several authors. In this paper, we introduce the notion of $f$-weak contractions and als...

In this paper, a Krein-Milman  type theorem in $T_0$ semitopological cone is proved,  in general. In fact, it is shown that in any locally convex $T_0$ semitopological cone, every convex compact saturated subset is the compact saturated convex hull of its extreme points, which improves the results of Larrecq.

With the advent and wide spread use of computers a number of algorithms have been developed to determine the optimum ultimate pit limits in open pit mining. The main objective of these algorithms is to find groups of blocks that should be removed to yield the maximum overall mining profit under specified economic conditions and technological constraints. The most common methods are: Lerchs and ...

recently, cho et al. [y. j. cho, r. saadati, s. h. wang, common xed point theorems on generalized distance in ordered cone metric spaces, comput. math. appl. 61 (2011) 1254-1260] dened the concept of the c-distance in a cone metric space and proved some xed point theorems on c-distance. in this paper, we prove some new xed point and common xed point theorems by using the distance in ordere...

(a) (b) Figure 8: The nal set of directions from that covers G S in thick gray lines. Two views are provided with (a) presents the regular view of Figures 5 to 7 and (b) shows the entire Gauss map. See also Figure 1. (a) (b) Figure 6: The boundary and central silhouettes of G S in thick dark gray lines is projected onto the plane z = 1 in thick light gray lines, in (a). In (b), The convex hull ...

central granular cell odontogenic tumor) cgcot) of the jaw is an exceedingly rare benign odontogenic neoplasm with 35 reported cases in the literature. among these, very few studies have focused on the cone-beam ct features of cgcot. here, we report a case of an asymptomatic cgcot in a 16-year-old girl and focus on the cone-beam ct features. only 36 cases of this lesion, including this one, hav...

in this paper, several xed point theorems for t-contraction of two maps on cone metric spaces under normality condition are proved. obtained results extend and generalize well-known comparable results in the literature.

Several geological features, including sedimentary cone-in-cone structures and percussion marks, may resemble impact-generated shatter cones. Especially inexperienced workers may mistake such features for impact deformation. In 1997, our group investigated an alleged occurrence of shatter cones in the Hamada area of southeastern Morocco and found that these are actually cone-in-cone structures,...

series of undrained monotonic triaxial tests and cone penetration tests were conducted on loose silty sand samples to study correlation between undrained shear strength of silty sands (sus) and piezocone test results. cpt tests were conducted at 27 silty sand samples in calibration chamber. the results indicate that, in low percent of silt (0-30%), as the silt content increases, the undrained s...