Characterization of ∑-Semicompleteness via Caristi’s Fixed Point Theorem in Semimetric Spaces
Introducing the concept of ∑-semicompleteness in semimetric spaces, we extend Caristi’s fixed point theorem to ∑-semicomplete semimetric spaces. Via this extension, we characterize ∑-semicompleteness. We also give generalizations of the Banach contraction principle.
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| Autor principal: | |
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| Formato: | Artigo |
| Idioma: | Inglês |
| Publicado em: |
Wiley
2018-01-01
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| coleção: | Journal of Function Spaces |
| Acesso em linha: | http://dx.doi.org/10.1155/2018/9435470 |
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