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FilomatVolume 34, Issue 12, 2020, Pages 4015-4026

Some new results on(s, q) −dass-gupta-jaggi type contractive mappings in b-metric-like spaces(Article)(Open Access)

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  • aNonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Viet Nam
  • bFaculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam
  • cFaculty of Technology, University of Novi Sad, Bulevar cara Lazara 1, Novi Sad, 21000, Serbia
  • dFaculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 35, Beograd, 11120, Serbia

Abstract

In this paper we consider cyclic (s − q)-Dass-Gupta-Jaggi type contractive mapping in b-metric like spaces. By using our new approach for the proof that one Picard’s sequence is Cauchy in the context of b-metric-like space, our results generalize, improve and complement several results in the existing literature. Moreover, we showed that the cyclic type results of Kirk et al. are equivalent with the corresponding usual fixed point ones for Dass-Gupta-Jaggi type contractive mappings. Finally, some examples are presented here to illustrate the usability of the obtained theoretical results. © 2020, University of Nis. All rights reserved.

Author keywords

B-metric-like spaceCyclic ηqs-rational contractive mappingFixed point techniqueMetric-like spaceηqs-rational contractive mapping

Funding details

Funding sponsor Funding number Acronym
Ministarstvo Prosvete, Nauke i Tehnološkog Razvoja451-03-68/2020-14/200134MPNTR

  • 1

    2010 Mathematics Subject Classification. Primary 47H10 ; Secondary 54H25 Keywords. Cyclic ηsq-rational contractive mapping; ηsq-rational contractive mapping; fixed point technique; metric-like space; b-metric-like space. Received: 17 December 2019; Revised: 31 March 2020; Accepted: 05 April 2020 Communicated by Calegro Vetro Corresponding author: Nicola Fabiano The second and third authors are supported by the Ministry of Education, Science and Technological Development of the Republic of Serbia (No. 451-03-68/2020-14/200134) Email addresses: [email protected] (Nicola Fabiano), [email protected] (Tatjana Dosˇenović), [email protected] (Dusˇan Rakić), [email protected] (Stojan Radenović), [email protected] (Stojan Radenović)

  • ISSN: 03545180
  • Source Type: Journal
  • Original language: English
  • DOI: 10.2298/FIL2012015F
  • Document Type: Article
  • Publisher: University of Nis

  Fabiano, N.; Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;
  Fabiano, N.; Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;
© Copyright 2021 Elsevier B.V., All rights reserved.

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