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

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  • Ghosh, S.K.
  • Nahak, 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.

Suggested Citation

  • Ghosh, S.K. & Nahak, C., 2020. "An extension of Lakzian-Rhoades results in the structure of ordered b-metric spaces via wt-distance with an application," Applied Mathematics and Computation, Elsevier, vol. 378(C).
    • Handle: RePEc:eee:apmaco:v:378:y:2020:i:c:s0096300320301661
    DOI: 10.1016/j.amc.2020.125197
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    References listed on IDEAS

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    1. Lakzian, Hossein & Rhoades, B.E., 2019. "Some fixed point theorems using weaker Meir–Keeler function in metric spaces with w−distance," Applied Mathematics and Computation, Elsevier, vol. 342(C), pages 18-25.
    2. A. Branciari, 2002. "A fixed point theorem for mappings satisfying a general contractive condition of integral type," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 29, pages 1-6, January.
    3. Gerald Jungck, 1986. "Compatible mappings and common fixed points," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 9, pages 1-9, January.
    4. B. E. Rhoades, 2003. "Two fixed-point theorems for mappings satisfying a general contractive condition of integral type," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-7, January.
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