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.
title = "A homotopy fixed point theorem in 0-complete partial metric space",
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.",
author = "Calogero Vetro and Francesca Vetro",
year = "2015",
language = "English",
volume = "29",
pages = "2037--2048",
journal = "Filomat",
issn = "0354-5180",
publisher = "Universitet of Nis",
}
TY - JOUR
T1 - A homotopy fixed point theorem in 0-complete partial metric space
AU - Vetro, Calogero
AU - Vetro, Francesca
PY - 2015
Y1 - 2015
N2 - 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.
AB - 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.