关于近似均匀凸双曲空间中一类新的广义非展开映射的定点

MANAS Journal of Engineering Pub Date : 2023-12-13 DOI:10.51354/mjen.1361003

Nazlı KADIOĞLU KARACA

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引用次数: 0

摘要

本文介绍了双曲空间中一类新的广义非展开映射的定义。此外，我们还构建了双曲空间中曼迭代过程的重写版本。然后，利用我们所建立的迭代过程，我们证明了 a-b 广义非膨胀映射在统一双曲空间中的转换理论。最后，我们提供一个数值示例来说明我们的发现。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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ON APPROXIMATING FIXED POINTS OF A NEW CLASS OF GENERALIZED NONEXPANSIVE MAPPINGS IN UNIFORMLY CONVEX HYPERBOLIC SPACE

IN THIS PAPER, WE INTRODUCE DEFINITION OF A NEW CLASS OF GENERALIZED NONEXPANSIVE MAPPINGS IN HYPERBOLIC SPACE. ADDITIONALLY, WE CONSTRUCT THE REWRITTEN VERSION OF MANN ITERATION PROCESS IN HYPERBOLIC SPACE. THEN, USING THE ITERATIVE PROCEDURE WE ESTABLISHED, WE PROVE CONVERGENCE THEOREMS FOR a-b GENERALIZED NONEXPANSIVE MAPPINS IN A UNIFORMLY CONVEX HYPERBOLIC SPACE. LASTLY, WE OFFER A NUMERICAL EXAMPLE TO ILLUSTRATE OUR FINDINGS.

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MANAS Journal of Engineering

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