A homotopy fixed point theorem in 0-complete partial metric space | Zendy

Calogero Vetro | Zendy; Francesca Vetro | Zendy

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A homotopy fixed point theorem in 0-complete partial metric space

Author(s) -

Calogero Vetro,

Francesca Vetro

Publication year - 2015

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1509037v

Subject(s) - mathematics , fixed point theorem , metric space , homotopy , pure mathematics , schauder fixed point theorem , fixed point , type (biology) , n connected , discrete mathematics , mathematical analysis , brouwer fixed point theorem , ecology , biology

We generalize a result of Feng and Liu, on multi-valued contractive mappings, for studying the relationship between fixed point sets and homotopy fixed point sets. The presented results are discussed in the generalized setting of 0-complete partial metric spaces. An example and a nonlinear alternative of Leray-Schauder type are given to support our theorems

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