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The Existence of Fixed Points for Nonlinear Contractive Maps in Metric Spaces with 𠑤 -Distances

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  • Hossein Lakzian
  • Ing-Jer Lin

Abstract

Some fixed point theorems for ( 𠜑 , 𠜓 , ð ‘ ) -contractive maps and ( 𠜑 , 𠑘 , ð ‘ ) -contractive maps on a complete metric space are proved. Presented fixed point theorems generalize many results existing in the literature.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnljam:161470
    DOI: 10.1155/2012/161470
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    Cited by:

    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.

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