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.
Vetro, C., Vetro, F. (2015). A homotopy fixed point theorem in 0-complete partial metric space. FILOMAT, 29(9), 2037-2048 [10.2298/FIL1509037V].
A homotopy fixed point theorem in 0-complete partial metric space
VETRO, Calogero;VETRO, Francesca
2015-01-01
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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