RT Journal Article
T1 A generalization of Krasnosel'skii compression fixed point theorem by using star convex sets
A1 Rodríguez-López, Rosana
A1 Lois-Prados, Cristina
K1 Krasnosel'skii fixed point theorem
K1 k-set contraction
K1 star convex set
AB In the framework of fixed point theory, many generalizations of the classical resultsdue to Krasnosel’skii are known. One of these extensions consists in relaxing theconditions imposed on the mapping, working with k-set contractions instead ofcontinuous and compact maps. The aim of this work if to study in detail some fixedpoint results of this type, and obtain a certain generalization by using star convexsets.
PB Cambridge University Press
SN 0308-2105
YR 2020
FD 2020
LK http://hdl.handle.net/10347/31828
UL http://hdl.handle.net/10347/31828
LA eng
NO C. Lois-Prados, R. Rodríguez-López (2020). A generalization of Krasnosel'skii compression fixed point theorem by using star convex sets. Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 150(1), 277–303.
NO The research of C. Lois-Prados was partially supported by a grant of  'Programa de Iniciación á Investigacióon nas Ciencias Matemáticas e as súas Aplicacións' from the Vicerreitoría de Investigación e Innovación and the Instituto de Matemáticas (USC). The research of R. Rodríguez-López was partially supported by grant number MTM2016-75140-P (AEI/FEDER, UE).
DS Minerva
RD 24 abr 2026