Solving system of Urysohn type integral equation via bicomplex partial b-metric space

2021/07/09 by Gunaseelan Mani, Mani, Gunaseelan, Arul Joseph Gnanaprakasam +5
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Algebraic and Geometric Analysis #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.2107.04531

openalex publication_date 2021/07/09 · openalex created_date 2021/07/19 · openalex updated_date 2026/07/28

Abstract

In this paper, we introduce the notion of bicomplex partial b-metric space and prove some common fixed point theorems. Our results generalize and expand some of the literature's well known results. We also explore some of the applications of our key results to Urysohn type integral equations.

Citations

• Le rappresentazioni reali delle forme complesse e gli enti iperalgebrici

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