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New fixed point results in bv(s)-metric spaces

  • Tatjana Došenović EMAIL logo , Zoran Kadelburg , Zoran D. Mitrović and Stojan Radenović
Published/Copyright: March 10, 2020
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 70 Issue 2

Abstract

Z. D. Mitrović and S. Radenović introduced in [The Banach and Reich contractions inbv(s)-metric spaces, J. Fixed Point Theory Appl. 19 (2017), 3087–3095] a new class of generalized metric spaces and proved some fixed point theorems in this framework. The purpose of this paper is to consider other kinds of contractive mappings in bv(s)-metric spaces, and show how the work in the new settings differs from the one in standard metric and b-metric spaces. Examples show the usefulness of the obtained results.

MSC 2010: Primary 47H10; Secondary 54H25
Keywords: Fixed point; contractive mapping; rational expression; bv(s)-metric space

We wish to thank the projects MNTRRS-174009 and Ministry for Scientific and Technological Development, Higher Education and Information Society of Republika Srpska (Savremena istraživanja u teoriji fiksne tačke: metrički i topološki pristup, 1255007.)

  1. (Communicated by Gregor Dolinar )

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Received: 2018-04-22
Accepted: 2019-11-18
Published Online: 2020-03-10
Published in Print: 2020-04-28

© 2020 Mathematical Institute Slovak Academy of Sciences

Articles in the same Issue

  1. Regular papers
  2. Relatively residuated lattices and posets
  3. Strongly s-dense injective hull and Banaschewski’s theorems for acts
  4. Wild sets in global function fields
  5. Generators and integral points on elliptic curves associated with simplest quartic fields
  6. New Filbert and Lilbert matrices with asymmetric entries
  7. Returning functions with closed graph are continuous
  8. On sets of points of approximate continuity and ϱ-upper continuity
  9. Investigation of the fifth Hankel determinant for a family of functions with bounded turnings
  10. On solvability of some nonlocal boundary value problems for biharmonic equation
  11. The study of piecewise pseudo almost periodic solutions for impulsive Lasota-Wazewska model with discontinuous coefficients
  12. Strongly increasing solutions of higher-order quasilinear ordinary differential equations
  13. Oscillation of second order half-linear neutral differential equations with weaker restrictions on shifted arguments
  14. Filippov solutions of vector Dirichlet problems
  15. Sequences of positive homoclinic solutions to difference equations with variable exponent
  16. Modified Lupaş-Jain operators
  17. New fixed point results in bv(s)-metric spaces
  18. Improved Young and Heinz operator inequalities for unitarily invariant norms
  19. Scrutiny of some fixed point results by S-operators without triangular inequality
  20. The lattices of families of regular sets in topological spaces
  21. Iterated partial summations applied to finite-support discrete distributions
  22. Hamiltonicity of a class of toroidal graphs
https://doi.org/10.1515/ms-2017-0362
Keywords for this article
Fixed point; contractive mapping; rational expression; bv(s)-metric space

Articles in the same Issue

  1. Regular papers
  2. Relatively residuated lattices and posets
  3. Strongly s-dense injective hull and Banaschewski’s theorems for acts
  4. Wild sets in global function fields
  5. Generators and integral points on elliptic curves associated with simplest quartic fields
  6. New Filbert and Lilbert matrices with asymmetric entries
  7. Returning functions with closed graph are continuous
  8. On sets of points of approximate continuity and ϱ-upper continuity
  9. Investigation of the fifth Hankel determinant for a family of functions with bounded turnings
  10. On solvability of some nonlocal boundary value problems for biharmonic equation
  11. The study of piecewise pseudo almost periodic solutions for impulsive Lasota-Wazewska model with discontinuous coefficients
  12. Strongly increasing solutions of higher-order quasilinear ordinary differential equations
  13. Oscillation of second order half-linear neutral differential equations with weaker restrictions on shifted arguments
  14. Filippov solutions of vector Dirichlet problems
  15. Sequences of positive homoclinic solutions to difference equations with variable exponent
  16. Modified Lupaş-Jain operators
  17. New fixed point results in bv(s)-metric spaces
  18. Improved Young and Heinz operator inequalities for unitarily invariant norms
  19. Scrutiny of some fixed point results by S-operators without triangular inequality
  20. The lattices of families of regular sets in topological spaces
  21. Iterated partial summations applied to finite-support discrete distributions
  22. Hamiltonicity of a class of toroidal graphs
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