Novel fixed point theorems for orbital continuity in b-metric spaces: applications to integral equations and neural stability

Research output: Contribution to journalArticlepeer-review

Abstract

This article establishes novel fixed point theorems for Ψ-orbitally continuous mappings in b-metric spaces, extending the foundational results. The findings are applied to demonstrate the existence and uniqueness solutions for nonlinear integral equations and analyzing the stability of neural networks.

Original languageEnglish
Pages (from-to)82-93
Number of pages12
JournalJournal of Mathematics and Computer Science
Volume41
Issue number1
DOIs
StatePublished - 2026

Keywords

  • 54H25
  • Orbitally continuous mappings
  • b-metric spaces. 37C25
  • neural network
  • nonlinear integral equations

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