We investigate Jarńık’s points for a real function f defined in R, i.e. points x for which lim apy→x |(f(y)− f(x))/(y − x)| = +∞. In 1970, Berman has proved that the set Jf of all Jarńık’s points for a path f of the one-dimensional Brownian motion is the whole R almost surely. We give a simple explicit construction of a continuous function f with Jf = R. The main result of our paper says that f...

‎In this paper‎, ‎we present an algorithm for generating approximate nondominated points of a multiobjective optimization problem (MOP)‎, ‎where the constraints and the objective functions are convex‎. ‎We provide outer and inner approximations of nondominated points and prove that inner approximations provide a set of approximate weakly nondominated points‎. ‎The proposed algorithm can be appl...

The main purpose of this paper is to study the approximate best proximity pair of cyclic maps and their diameter in fuzzy normed spaces defined by Bag and Samanta. First, approximate best point proximity points on fuzzy normed linear spaces are defined and four general lemmas are given regarding approximate fixed point and approximate best proximity pair of cyclic maps on fuzzy normed spaces. U...