Fixed point and a Cantilever beam problem in a partial b-metric space
2021 ◽
Vol 13
(2)
◽
pp. 506-518
Keyword(s):
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.