In this paper, by taking ${{\mathcal C}_\mathcal{A}}-$simulation function and Proinov type function into account, we set up a new contraction mapping called Suzuki$-$Proinov $\mathpzc{Z^*}_{\aE^*}^{\aR}(\alpha)-$contraction, including both rational expressions that possess quadratic terms and $\aE-$type contractions. Furthermore, we demonstrate a common fixed point theorem through the mappings endowed with triangular $\alpha-$admissibility in the setting of modular $b-$metric spaces. Besides that, we achieve some new outcomes that contribute to the current ones in the literature through the main theorem, and, as an application, we examine the existence of solutions to a class of functional equations emerging in dynamic programming.
Common fixed point Dynamic programming Modular $b-$metric space Proinov type mappings Simulation functions
Birincil Dil | İngilizce |
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Konular | Adi Diferansiyel Denklemler, Fark Denklemleri ve Dinamik Sistemler, Temel Matematik (Diğer) |
Bölüm | Articles |
Yazarlar | |
Erken Görünüm Tarihi | 19 Şubat 2024 |
Yayımlanma Tarihi | 4 Mart 2024 |
Gönderilme Tarihi | 3 Ocak 2024 |
Kabul Tarihi | 13 Şubat 2024 |
Yayımlandığı Sayı | Yıl 2024 Cilt: 7 Sayı: 1 |
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