部分b-度量空间中的不动点和悬臂梁问题

Pub Date : 2021-12-01 DOI:10.2478/ausm-2021-0032

A. Tomar, M. Joshi, Venkatesh Bhatt

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引用次数: 0

摘要

摘要在不利用连续性和交换性的任何变体的情况下，确定了完全偏b-度量空间中满足Hardy-Roger型收缩的两个映射的公共不动点，这是类比结果中不可缺少的。最后，我们给出了解决悬臂梁问题的实例和应用，该问题用于弹性梁的平衡变形，以证实这些改进的效用。

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Fixed point and a Cantilever beam problem in a partial b-metric space

Abstract We determine the common fixed point of two maps satisfying Hardy-Roger type contraction in a complete partial b-metric space without exploiting any variant of continuity or commutativity, which is indispensable in analogous results. Towards the end, we give examples and an application to solve a Cantilever beam problem employed in the distortion of an elastic beam in equilibrium to substantiate the utility of these improvements.

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