Some Coupled Fixed Point Theorems for (\psi, \phi)- contraction with Applications to Fractals
Functional Analysis
2026-02-05 v1
Abstract
In this paper, we obtain coupled fixed point theorem for (\psi, \phi)-contractions under some generalized conditions on the real valued functions \psi and \phi defined on (0,\infinity). Also, we present a generalized version of coupled fixed point theorem for the same (\psi, \phi)- contractions. A new approach to fractal generation using the relation between fractals and fixed points is given in light of these fixed point theorems. We establish a new type of iterated function system consisting of generalized (\psi, \phi)-contractions. We also extend those results to coupled fractals.
Keywords
Cite
@article{arxiv.2303.03710,
title = {Some Coupled Fixed Point Theorems for (\psi, \phi)- contraction with Applications to Fractals},
author = {Athul P and D. Ramesh Kumar},
journal= {arXiv preprint arXiv:2303.03710},
year = {2026}
}