Some Coupled Fixed Point Theorems for (ψ, ϕ)- contraction with Applications to Fractals
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866910011245985792 |
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| author | P, Athul Kumar, D. Ramesh |
| author_facet | P, Athul Kumar, D. Ramesh |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_03710 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Some Coupled Fixed Point Theorems for (ψ, ϕ)- contraction with Applications to Fractals P, Athul Kumar, D. Ramesh Functional Analysis 47H09, 47H10, 28A80 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. |
| title | Some Coupled Fixed Point Theorems for (ψ, ϕ)- contraction with Applications to Fractals |
| topic | Functional Analysis 47H09, 47H10, 28A80 |
| url | https://arxiv.org/abs/2303.03710 |