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Caristi Type Coincidence Point Theorem in Topological Spaces

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Listed:
  • Jiang Zhu
  • Lei Wei
  • Cheng-Cheng Zhu

Abstract

A generalized Caristi type coincidence point theorem and its equivalences in the setting of topological spaces by using a kind of nonmetric type function are obtained. These results are used to establish variational principle and its equivalences in d‐complete spaces, bornological vector space, seven kinds of completed quasi‐semimetric spaces equipped with Q‐functions, uniform spaces with q‐distance, generating spaces of quasimetric family, and fuzzy metric spaces.

Suggested Citation

  • Jiang Zhu & Lei Wei & Cheng-Cheng Zhu, 2013. "Caristi Type Coincidence Point Theorem in Topological Spaces," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:902692
    DOI: 10.1155/2013/902692
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    References listed on IDEAS

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    1. Troy L. Hicks, 1992. "Fixed point theorems for d -complete topological spaces I," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 15, pages 1-5, January.
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