An extension of Lakzian-Rhoades results in the structure of ordered b-metric spaces via wt-distance with an application

S.K. Ghosh and C. Nahak

Applied Mathematics and Computation, 2020, vol. 378, issue C

Abstract: In this present article, we establish two new kinds of nonlinear contraction mappings to obtain fixed point results in the structure of ordered b - metric space via wt-distance. In fact, our presented results are extensions of recent theorems due to Lakzian-Rhoades [2019. Appl. Math. Comput.] and other existing classical results of fixed point theory. Furthermore, we provide examples to show the validity of our new investigations. As an application we apply our new findings to obtain solution of a matrix equation. Finally, we verify the accuracy of our new results numerically.

Keywords: wt−distance; Coincidence point; b−metric space; Meir - Keeler function; Contractive mapping; Matrix equation (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:378:y:2020:i:c:s0096300320301661

DOI: 10.1016/j.amc.2020.125197

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