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

Anita Tomar; Meena Joshi; Venkatesh Bhatt

doi:10.2478/ausm-2021-0032

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

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