Recent developments in metric fixed point theory for multivalued mappings

Shyam Lal Singh, Rajendra Pant

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


Suzuki contraction theorem (Proc. Amer. Math. Soc. 136(5) (2008); [109] (cf. also Singh and Mishra (Nonlinear Anal. 74(6) (2011); [98]))) is a new kind of forceful generalization of the classical Banach contraction theorem. Another interesting generalization of the Banach contraction theorem has been obtained by Proinov Nonlinear Anal. 64(2006); [77]. The purpose of this survey article is to present some Suzuki and Proinov type fixed point theorems mainly for multivalued and hybrid mappings in the context of metric fixed point theory. Some new results are also given.

Original languageEnglish
Title of host publicationRecent Advances in Fixed Point Theory and Applications
PublisherNova Science Publishers, Inc.
Number of pages26
ISBN (Electronic)9781536121049
ISBN (Print)9781536120851
Publication statusPublished - 1 Jan 2017
Externally publishedYes


  • Coincidence point
  • Cyclic contraction
  • Fixed point
  • Hybrid contraction
  • Multivalued contraction
  • Proinov contraction
  • Semi-quasi contraction
  • Suzuki contraction

ASJC Scopus subject areas

  • General Mathematics


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