Caristi Type Coincidence Point Theorem in Topological Spaces

Jiang Zhu, Lei Wei and Cheng-Cheng Zhu

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

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.

Date: 2013
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https://doi.org/10.1155/2013/902692

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:902692

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