Fixed Point Theory and Applications (Nov 2017)

Nadler’s fixed point theorem in ν-generalized metric spaces

  • Tomonari Suzuki

DOI
https://doi.org/10.1186/s13663-017-0611-2
Journal volume & issue
Vol. 2017, no. 1
pp. 1 – 13

Abstract

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Abstract We extend Nadler’s fixed point theorem to ν-generalized metric spaces. Through the proof of the above extension, we understand more deeply the mathematical structure of a ν-generalized metric space. In particular, we study the completeness of the space. We also improve Caristi’s and Subrahmanyam’s fixed point theorems in the space.

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