We study the existence of fixed points for multi-valued mappings that satisfy certain generalized contractive conditions in the setting of 0-complete partial metric spaces. We apply our results to the solution of a Volterra type integral equation in ordered 0-complete partial metric spaces.
Paesano, D., Vetro, C. (2014). Multi-valued F-contractions in 0-complete partial metric spaces with application to Volterra type integral equation. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS, FÍSICAS Y NATURALES. SERIE A, MATEMÁTICAS, 108(2), 1005-1020 [10.1007/s13398-013-0157-z].
Multi-valued F-contractions in 0-complete partial metric spaces with application to Volterra type integral equation
VETRO, Calogero
2014-01-01
Abstract
We study the existence of fixed points for multi-valued mappings that satisfy certain generalized contractive conditions in the setting of 0-complete partial metric spaces. We apply our results to the solution of a Volterra type integral equation in ordered 0-complete partial metric spaces.
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