Solution of a nonlinear fractional-order initial value problem via a C ∗ $\mathscr{C}^{*}$ -algebra-valued R $\mathcal{R}$ -metric space
Fixed Point Theory and Algorithms for Sciences and Engineering（2024）
摘要
Abstract In this article, we prove new common fixed-point theorems on a C ∗ $\mathscr{C}^{*}$ -algebra-valued R $\mathcal{R}$ -metric space. An example is given based on our obtained results. To enhance our results, a strong application based on the fractional-order initial value problem is provided.
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关键词
Common fixed point,R $\mathcal{R}$ -metric space,C ∗ $\mathscr{C}^{*}$ -algebra,C ∗ $\mathscr{C}^{*}$ -algebra-valued R $\mathcal{R}$ -metric space
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