Abstract We initiate the study of fine p -(super)minimizers, associated with -harmonic functions, on finely open sets in metric spaces, where $1 < \infty $ 1 < p ∞ . After having developed their basic theory, we obtain -fine continuity solution Dirichle...

Determining meaningful lower bounds on the supremal strict p-negative type of classes of finite metric spaces is a difficult nonlinear problem. In this paper we use an elementary approach to obtain the following result: given a finite metric space (X, d) there is a constant ζ > 0, dependent only on n = |X | and the scaled diameter D= (diam X)/min{d(x, y) | x 6= y} of X (which we may assume is >...

BACKGROUND American Heart Association (AHA) defined 7 cardiovascular health metrics for the general population to improve cardiovascular health in 2010: not smoking; having normal blood pressure; being physically active; normal body mass index, blood glucose, and total cholesterol levels; and eating a healthy diet. To investigate trends in cardiovascular health metrics in Korea, we used data fr...

The purpose of this study is to evaluate the curvature tensor and Ricci a P-Sasakian manifold with respect quarter-symmetric metric connection on tangent bundle TM. Certain results semisymmetric manifold, generalized recurrent manifolds, pseudo-symmetric manifolds TM are proved.

we prove a related fixed point theorem for n mappings which arenot necessarily continuous in n fuzzy metric spaces using an implicit relationone of them is a sequentially compact fuzzy metric space which generalizeresults of aliouche, et al. [2], rao et al. [14] and [15].

the time-optimal trajectory for an airplane from some starting point to some final point is studied by many authors. here, we consider the extension of robot planer motion of dubins model in three dimensional spaces. in this model, the system has independent bounded control over both the altitude velocity and the turning rate of airplane movement in a non-obstacle space. here, in this paper a g...

in this paper, we shall introduce the fuzzyw-distance, then prove a common fixed point theorem with respectto fuzzy w-distance for two mappings under the condition ofweakly compatible in complete fuzzy metric spaces.

we provide fuzzy quasi-metric versions of a fixed point theorem ofgregori and sapena for fuzzy contractive mappings in g-complete fuzzy metricspaces and apply the results to obtain fixed points for contractive mappingsin the domain of words.