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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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Egile nagusia: Tomonari Suzuki
Formatua: Artigo
Hizkuntza:Inglês
Argitaratua: Wiley 2018-01-01
Saila:Journal of Function Spaces
Sarrera elektronikoa:http://dx.doi.org/10.1155/2018/9435470
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