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A characterization of completeness of Menger PM-spaces

  • R. P. Pant
  • Abhijit Pant
  • Rale M. NikolićEmail author
  • Siniša N. Ješić
Article
  • 68 Downloads

Abstract

The purpose of this paper is to obtain an answer, in the setting of Menger PM-spaces, to the question on the existence of contractive mappings which admit discontinuity at the fixed point (see Rhoades in Contemp Math 72:233–245, 1988).

Keywords

Menger PM-spaces fixed point contractive mapping 

Mathematics Subject Classification

Primary 47H10 

Notes

Acknowledgements

The last two listed authors acknowledge the support of the Ministry of Education, Science, and Technological Development of the Republic of Serbia, Grant No. 174032.

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Mathematics, D. S. B. CampusKumaun UniversityNainitalIndia
  2. 2.Belgrade Metropolitan UniversityBelgradeSerbia
  3. 3.Department of Applied Mathematics, Faculty of Electrical EngineeringUniversity of BelgradeBelgradeSerbia

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