Extended Φ-contraction mappings

Research output: Contribution to journalArticlepeer-review


We extend the concept of Φ-contraction mappings and introduce a condition that applies to contraction mappings as well as nonexpansive mappings. The fixed-point sets and domains of such mappings display interesting algebraic, geometric and dynamical features. A method for determining the cardinality of the fixed-point set is also given. Various examples and an application in obtaining a unique solution of a boundary value problem of second order differential equations substantiate our results.

Original languageEnglish
JournalJournal of Analysis
Publication statusAccepted/In press - 2024
Externally publishedYes


  • Cardinality
  • Eventual fixed points
  • Fixed points
  • Non-expansive mappings
  • Φ-contraction

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Geometry and Topology
  • Applied Mathematics


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