Online First version
https://doi.org/10.7494/OpMath.202511141

 
Opuscula Mathematica

Fixed point theory for Jaggi L-type mappings

Enrique Llorens-Fuster
Elena Moreno Gálvez

Abstract. We present a class of nonlinear mappings, properly containing the nonexpansive ones, enjoying the fixed point property in orthogonally convex Banach spaces.

Keywords: fixed point, generalized nonexpansive mapping, normal structure, orthogonal convexity.

Mathematics Subject Classification: 47H10, 47H09, 46B20.

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  • Enrique Llorens-Fuster (corresponding author)
  • ORCID iD https://orcid.org/0000-0001-6194-0002
  • University of Valencia, Department of Mathematical Analysis, Dr. Moliner 50, 46100 Burjassot, Valencia, Spain
  • Elena Moreno Gálvez
  • ORCID iD https://orcid.org/0000-0001-5692-3857
  • Catholic University of Valencia, Department of Mathematics, Natural Sciences and Social Sciences Applied to Education, Sagrado Corazón 5, 46110 Godella, Valencia, Spain
  • Communicated by Marek Galewski.
  • Received: 2025-07-10.
  • Revised: 2025-11-07.
  • Accepted: 2025-11-14.
  • Published online: 2026-03-18.
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