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Fixed Point Theory and ApplicationsVolume 2015, Issue 1, 2 December 2015, Article number 146, 10p

Fixed point of multivalued integral type of contraction mappings(Article)(Open Access)

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  • aUniversity of Novi Sad, Novi Sad, Serbia
  • bUniversity of Novi Sad, Novi Sad, Serbia
  • cUniversity of Novi Sad, Novi Sad, Serbia

Abstract

In this paper the fixed point of multivalued mapping is considered. A generalization of the well-known Nadler contraction principle, the Khan contraction theorem and the fixed point theorem in complete metric space with a convex structure is proved. The main result of the paper is formulated by three theorems where the mappings, defined over the complete metric space, are assumed to satisfy some integral type of contraction. © 2015, Stojaković et al.

Author keywords

altering distance functionCauchy sequencecomplete metric spaceconvex structurefixed point

Funding details

Funding sponsor Funding number Acronym
174009,174019,174024,174025

  • 1

    The authors are very grateful to the anonymous referees for their careful reading of the paper and suggestions which have contributed to the improvement of the paper. The authors are partially supported by Ministarstvo prosvete i nauke Republike Srbije (Grants No.: 174019, 174024, 174025, 174009).

  • ISSN: 16871820
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1186/s13663-015-0396-0
  • Document Type: Article
  • Publisher: Springer International Publishing

  Stojaković, M.; University of Novi Sad, Novi Sad, Serbia
© Copyright 2015 Elsevier B.V., All rights reserved.

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Common fixed point results for set-valued integral type contractions on metric spaces with directed graph
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Khan, A. , Abdeljawad, T. , Shatanawi, W.
Fixed point theorems for quadruple self-mappings satisfying integral type inequalities
(2020) Filomat
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