‎in this paper‎, ‎by using four functionals fixed point theorem‎, ‎we obtain sufficient conditions for the existence of‎ ‎at least one positive solution of an $n$th-order $m$-point boundary value problem‎. ‎as an application‎, ‎we give an example to demonstrate our main result.

A random number generator is proposed based on a theorem about existence of chaos in fixed point iteration of xn = cot(xn−1). Digital computer simulation of this function iteration exhibits random behavior. A method is proposed to extract random bytes from this simulation. Diehard and NIST test suite for randomness detection is run on this bytes, and it is found to pass all the tests in the sui...

we de ne approximate xed point in fuzzy norm spaces and prove the existence theorems, we also consider approximate pair constructive map- ping and show its relation with approximate fuzzy xed point.

Algorithmic information theory (AIT, for short) is a theory of program-size and algorithmic randomness. One of the primary concepts of AIT is the Kolmogorov complexity K(s) of a finite binary string s, which is defined as the length of the shortest binary program for a universal decoding algorithm to output s. In this paper, we report on a quite new type of fixed point in computer science, call...

We provide optimal rates of convergence to the asymptotic distribution of the (properly scaled) degree of a fixed vertex in two preferential attachment random graph models. Our approach is to show that these distributions are unique fixed points of certain distributional transformations which allows us to obtain rates of convergence using a new variation of Stein’s method. Despite the large lit...

The number of fixed points of a random permutation of {1, 2, . . . , n} has a limiting Poisson distribution. We seek a generalization, looking at other actions of the symmetric group. Restricting attention to primitive actions, a complete classification of the limiting distributions is given. For most examples, they are trivial – almost every permutation has no fixed points. For the usual actio...