Iterated Functions Systems Composed of Generalized ?-Contractions

Iterated Functions Systems and Fractal Coding

A New Common Fixed Point Theorem for Suzuki Type Contractions via Generalized $Psi$-simulation Functions

In this paper, a new stratification of mappings, which is  called $Psi$-simulation functions, is introduced  to enhance the study of the Suzuki type weak-contractions. Some well-known results in weak-contractions fixed point theory are generalized by our researches. The methods have been appeared in proving the main results are new and different from the usual methods. Some suitable examples ar...

Approximating distribution functions by iterated function systems

In this small note an iterated function system on the space of distribution functions is built. The inverse problem is introduced and studied by convex optimization problems. Applications of this method to approximation of distribution functions and estimation are presented. Résumé. Dans cette petite note un système de fonction itéré sur l’espace de fonctions de repartition est construit. Le pr...

SIMULATION FUNCTIONS AND INTERPOLATIVE CONTRACTIONS

In this manuscript, we consider the interpolative contractions mappings via simulation func-tions in the setting of complete metric space. We also express an illustrative example to show the validity of our presented results.

Combinatorial Multicollision Attacks on Generalized Iterated Hash Functions

We develop a word combinatorial approach to multicollisions in generalized iterated hash functions. The work rests on the notable discoveries of A. Joux and on generalizations provided by M. Nandi and D. Stinson as well as J. Hoch and A. Shamir. New results and improvements to some previously published ones are produced. We also wish to unify the diverse notations and bring the results together...