Analytical properties and the box-counting dimension of nonlinear hidden variable recurrent fractal interpolation functions constructed by using Rakotch's fixed point …
CI Ro, CH Yun - Applied Mathematics and Computation, 2024 - Elsevier
Rakotch contraction is a generalization of Banach contraction, which implies that in the case
of using Rakotch's fixed point theorem, we can model more objects than using Banach's …
of using Rakotch's fixed point theorem, we can model more objects than using Banach's …
On the box dimension of recurrent fractal interpolation functions defined with Matkowski contractions
Recurrent iterated function system (RIFS) represents an extension of the usual IFS method
and allows the construction of more general sets, which do not have to exhibit the strict self …
and allows the construction of more general sets, which do not have to exhibit the strict self …
A φ-Contractivity Fixed Point Theory and Associated φ-Invariant Self-Similar Sets
NH Altaweel - Contemporary Mathematics, 2024 - ojs.wiserpub.com
In this paper, we apply a generalized variant of the concept of fixed point theory due to
contraction mappings on metric spaces to construct a general class of iterated function …
contraction mappings on metric spaces to construct a general class of iterated function …