Numerical Shadowing Using Componentwise Bounds and a Sharper Fixed Point Result

Numerical Shadowing Using Componentwise Bounds and a Sharper Fixed Point Result

Fixed point theorems for weakly contractive mappings on g-Metric spaces and a homotopy result

In this paper, we give some xed point theorems for '-weak contractivetype mappings on complete G-metric space, which was given by Zaed andSims [1]. Also a homotopy result is given.

A fixed point result for a new class of set-valued contractions

In this paper, we introduce a new class of set-valued contractions and obtain a xed point theoremfor such mappings in complete metric spaces. Our main result generalizes and improves many well-known xed point theorems in the literature.

Sharper Bounds in Lattice-Based Cryptography Using the Rényi Divergence

The Rényi divergence is a measure of divergence between distributions. It has recently found several applications in lattice-based cryptography. The contribution of this paper is twofold. First, we give theoretic results which renders it more efficient and easier to use. This is done by providing two lemmas, which give tight bounds in very common situations – for distributions that are tailcut ...

A Coupled Random Fixed Point Result With Application in Polish Spaces

In this paper, we present a new concept of random contraction and prove a coupled random fixed point theorem under this condition which generalizes stochastic Banach contraction principle. Finally, we apply our contraction to obtain a solution of random nonlinear integral equations and we present a numerical example.