FIXED POINTS OF CORRESPONDENCES IN VECTOR VALUED METRIC SPACES AND APPLICATIONS IN INTEGRAL EQUATIONS

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Abstract

In the present paper, we give some fixed point theorems for correspondences defined on vector valued metric spaces. Our main results reformulate the fixed, point theorems given by Assad, Kirk, Zamfirescu, Kannan, Chatterjea and Ciric in vector valued metric spaces. We also apply the main results in solving some integral equations.
Original languageEnglish (Ireland)
Pages (from-to)1167-1180
Number of pages14
JournalJournal Of Nonlinear And Convex Analysis
Volume15
Issue number6
Publication statusPublished - 1 Nov 2014

Keywords

  • Contraction
  • Correspondence
  • Fixed point
  • Vector valued metric spaces

Authors (Note for portal: view the doc link for the full list of authors)

  • Authors
  • Agarwal, RP,Lael, F,Nourouzi, K,O'Regan, D

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