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Some fixed point theorems using weaker Meir–Keeler function in metric spaces with w−distance

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  • Lakzian, Hossein
  • Rhoades, B.E.

Abstract

In the present paper we prove some new fixed point theorems for self-mappings defined on a complete metric space with a w-distance. These results extend some previous fixed point theorems in this field to more general contractive conditions in the setting of w-distances for selfmappings which satisfy certain weaker Meir–Keeler conditions.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:342:y:2019:i:c:p:18-25
    DOI: 10.1016/j.amc.2018.06.048
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    References listed on IDEAS

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    1. P. Vijayaraju & B. E. Rhoades & R. Mohanraj, 2005. "A fixed point theorem for a pair of maps satisfying a general contractive condition of integral type," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-6, January.
    2. Hossein Lakzian & Ing-Jer Lin, 2012. "The Existence of Fixed Points for Nonlinear Contractive Maps in Metric Spaces with 𠑤 -Distances," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-11, February.
    3. 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.
    4. 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.
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    1. 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).

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