New fixed point theorems for asymptotically regular multi-valued maps

S. L. Singh, S. N. Mishra, Rajendra Pant

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)


Recently, extending Ćirić's quasi-contraction to a very general setting, Proinov [Petko D. Proinov, Fixed point theorems in metric spaces, Nonlinear Anal. 64 (2006) 546-557] obtained a remarkable fixed point theorem. We utilize Proinov's contractive type hypotheses for a self-map of a metric space to obtain very general fixed point theorems for multi-valued maps in metric spaces.

Original languageEnglish
Pages (from-to)3299-3304
Number of pages6
JournalNonlinear Analysis, Theory, Methods and Applications
Issue number7-8
Publication statusPublished - 1 Oct 2009
Externally publishedYes


  • Asymptotically regular maps
  • Fixed point
  • Multi-valued map
  • Quasi-contraction

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics


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