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MathematicsVolume 7, Issue 12, 1 December 2019, Article number 1190

Some results on (s-q)-graphic contraction mappings in b-metric-like spaces(Article)(Open Access)

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  • aInstitute of Research and Development of Porocesses, University of the Basque, Bilbao, 48080, Spain
  • bFaculty of Organizational Sciences, University of Belgrade, Belgrade, 11000, Serbia
  • cFaculty of Technology, University of Novi Sad, Bulevar cara Lazara 1, Novi Sad, 21000, Serbia
  • dDepartment of Mathematics and Informatics, University of Kragujevac, Radoja Domanovića 12, Kragujeva, 34000, Serbia
  • eFaculty of Mechanical Enginering, University of Belgrade, Kraljice Marije 16, Beograd, 11120, Serbia

Abstract

In this paper we consider (s-q)-graphic contraction mapping in b-metric like spaces. By using our new approach for the proof that a Picard sequence is Cauchy in the context of b-metric-like space, our results generalize, improve and complement several approaches in the existing literature. Moreover, some examples are presented here to illustrate the usability of the obtained theoretical results. © 2019 by the authors.

Author keywords

b-metric spaceb-metric-like spaceGeneral contractive mappingsGraphic contraction mappings

Funding details

Funding sponsor Funding number Acronym
Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja174002,OI 174010,MNTRRS-174009MPNTR
Eusko JaurlaritzaIT1207-19

  • 1

    Funding: This research was funded by the Basque Government, grant number IT1207-19; the Serbian Ministry of Science and Technology, grant number OI 174010 and the Ministry of Education and Science and Technological Development of the Republic of Serbia, Grant number -174002 . The APC was funded by the Basque Government through grant IT1207-19.

  • 2

    Acknowledgments: The first author thanks the Basque Government for its support of this work through Grant IT1207-19, the second author is supported by the Serbian Ministry of Science and Technology OI 174010, the third author wish to thank the projects MNTRRS-174009, the fourth author is grateful for the financial support from the Ministry of Education and Science and Technological Development of the Republic of Serbia-174002.

  • ISSN: 22277390
  • Source Type: Journal
  • Original language: English
  • DOI: 10.3390/MATH7121190
  • Document Type: Article
  • Publisher: MDPI AG

  De la Sen, M.; Institute of Research and Development of Porocesses, University of the Basque, Bilbao, Spain;
© Copyright 2020 Elsevier B.V., All rights reserved.

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