2015•FilomatOpen access
A homotopy fixed point theorem in 0-complete partial metric space
Calogero Vetro, Francesca Vetro
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Abstract
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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