Fixed point results in locally convex spaces with <em>τ</em>-Krein-Šmulian property and applications



	Fixed point results in locally convex spaces with τ-Krein-Šmulian property and applications


	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 Φ_Λ^τ-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: Φ_Λ^τ-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. Abstract pdf Fulltext pdf Back to volume's table of contents