Caristi Type Coincidence Point Theorem in Topological Spaces

Jiang Zhu, Lei Wei and Cheng-Cheng Zhu

Journal of Applied Mathematics, 2013, vol. 2013, 1-14

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 -complete spaces, bornological vector space, seven kinds of completed quasi-semimetric spaces equipped with -functions, uniform spaces with -distance, generating spaces of quasimetric family, and fuzzy metric spaces.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:902692

DOI: 10.1155/2013/902692

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