Fixed point results for [InlineEquation not available: see fulltext.]-expansive locally contractive mappings

Jamshaid Ahmad, Ahmed Saleh Al-Rawashdeh, Akbar Azam

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)

Abstract

We recall the concepts of [InlineEquation not available: see fulltext.]-contractive and α-admissible mappings on complete metric spaces to state related fixed point theorems. In this paper, we obtain some fixed point results for [InlineEquation not available: see fulltext.]-expansive locally contractive mappings in complete metric spaces. The contractiveness of the mapping is only on a closed ball instead of the whole space. Our results unify, generalize, and complement various well-known comparable results in the literature.

Original languageEnglish
Article number364
JournalJournal of Inequalities and Applications
Volume2014
Issue number1
DOIs
Publication statusPublished - 2014

Keywords

  • closed ball
  • expansive mapping
  • fixed point
  • α-admissible

ASJC Scopus subject areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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