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arXiv · 2303.03710

Some Coupled Fixed Point Theorems for (ψ, ϕ)- contraction with Applications to Fractals

Athul P·D. Ramesh Kumar
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Abstract

In this paper, we obtain coupled fixed point theorem for (ψ, ϕ)-contractions under some generalized conditions on the real valued functions ψand ϕdefined on (0,\infinity). Also, we present a generalized version of coupled fixed point theorem for the same (ψ, ϕ)- 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 (ψ, ϕ)-contractions. We also extend those results to coupled fractals.

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Athul P, D. Ramesh Kumar. 2023-03-07. Some Coupled Fixed Point Theorems for (ψ, ϕ)- contraction with Applications to Fractals. https://doi.org/10.2298/fil2426305p

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