Applications of Asymptotic Fixed Point Theorems in A-Metric Spaces to Integral Equations

Beg I., ERMİŞ T., GELİŞGEN Ö., Abbas M.

JOURNAL OF FUNCTION SPACES, vol.2025, no.1, 2025 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 2025 Issue: 1
  • Publication Date: 2025
  • Doi Number: 10.1155/jofs/1727696
  • Journal Name: JOURNAL OF FUNCTION SPACES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Agricultural & Environmental Science Database, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Keywords: A-metric space, asymptotic regularity, Hardy–Rogers fixed point, Ćirić fixed point
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

In this paper, using asymptotically regular sequences and mappings other than Picard operators, the most general forms of Hardy-Rogers and & Cacute;iri & cacute; fixed point theorems in the framework of A-metric space are presented. Furthermore, we give some applications to integral equations, which show the effectiveness of fixed point results presented herein.