Vol. 22(2021) No. 2



  Fixed point results in locally convex spaces with τ-Krein-Šmulian property and applications
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Fixed Point Theory, Volume 22, No. 2, 2021, 495-510, July 1st, 2021

DOI: 10.24193/fpt-ro.2021.2.33

Authors: Fatima Bahidi, Bilel Krichen and Bilel Mefteh

Abstract: In this paper, we present some new fixed point theorems in a locally convex space X with the so called τ-Krein-Šmulian property considering the concept of ΦΛτ-measures of noncompactness, where τ is a weaker Hausdorff locally convex topology of X. Further, we apply our results to discuss the existence of solutions for a nonlinear functional integral equation in the Lebesgue space L1.

Key Words and Phrases: ΦΛτ-measure of noncompactenss, τ-sequentially continuous, τ-Krein-Šmulian property, angelic space.

2010 Mathematics Subject Classification: 47H10, 47H09, 47H30.

Published on-line: July 1st, 2021.

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