Startseite Mathematik Fixed point results for F𝓡-generalized contractive mappings in partial metric spaces
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Fixed point results for F𝓡-generalized contractive mappings in partial metric spaces

  • Ishak Altun EMAIL logo , Mohammad Asim , Mohammad Imdad und Waleed M. Alfaqih
Veröffentlicht/Copyright: 22. Dezember 2019
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Mathematica Slovaca
Aus der Zeitschrift Mathematica Slovaca Band 69 Heft 6

Abstract

In this paper, we consider F𝓡-generalized contractivity condition and utilized the same to establish some fixed point results for a self-mapping in partial metric spaces endowed with an amorphous binary relation. Our results generalize several core results of the existing literature. We also furnish some examples to exhibit the utility of our results. Finally, we further deduce fixed point result for cyclic contractions in partial metric spaces.

Keywords: fixed point; partial metric space; F𝓡-generalized contractive mapping; cyclic contraction; binary relation
MSC 2010: 47H10; 54H25

  1. Communicated by David Buhagiar

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Received: 2019-01-29
Accepted: 2019-05-24
Published Online: 2019-12-22
Published in Print: 2019-12-18

© 2019 Mathematical Institute Slovak Academy of Sciences

Artikel in diesem Heft

  1. Regular papers
  2. RNDr. Kvetoslava Dvoƙáková passed away
  3. On the Riesz structures of a lattice ordered abelian group
  4. On Diophantine equation x4 + y4 = n(u4 + v4)
  5. On a Waring-Goldbach problem involving squares and cubes
  6. D(n)-quadruples in the ring of integers of ℚ(√2, √3)
  7. Geometry of ℙ2 blown up at seven points
  8. Preservation of Rees exact sequences
  9. Pointwise multipliers between weighted copson and cesĂ ro function spaces
  10. Some properties associated to a certain class of starlike functions
  11. Asymptotic properties of noncanonical third order differential equations
  12. Existence and regularity results for unilateral problems with degenerate coercivity
  13. Direct and inverse approximation theorems of functions in the Orlicz type spaces 𝓱M
  14. Some approximation properties of a kind of (p, q)-Phillips operators
  15. Best proximity points for a new type of set-valued mappings
  16. Weakly demicompact linear operators and axiomatic measures of weak noncompactness
  17. Fixed point results for F𝓡-generalized contractive mappings in partial metric spaces
  18. Einstein-Weyl structures on trans-Sasakian manifolds
  19. Characterizations of linear Weingarten space-like hypersurface in a locally symmetric Lorentz space
  20. ∗-Ricci solitons and gradient almost ∗-Ricci solitons on Kenmotsu manifolds
  21. Uncorrelatedness sets of discrete random variables via Vandermonde-type determinants
  22. A note on the consistency of wavelet estimators in nonparametric regression model under widely orthant dependent random errors
  23. On adaptivity of wavelet thresholding estimators with negatively super-additive dependent noise
  24. Generalized Meir-Keeler type contractions and discontinuity at fixed point II
https://doi.org/10.1515/ms-2017-0318
Schlagwörter fĂŒr diesen Artikel
fixed point; partial metric space; F𝓡-generalized contractive mapping; cyclic contraction; binary relation

Artikel in diesem Heft

  1. Regular papers
  2. RNDr. Kvetoslava Dvoƙáková passed away
  3. On the Riesz structures of a lattice ordered abelian group
  4. On Diophantine equation x4 + y4 = n(u4 + v4)
  5. On a Waring-Goldbach problem involving squares and cubes
  6. D(n)-quadruples in the ring of integers of ℚ(√2, √3)
  7. Geometry of ℙ2 blown up at seven points
  8. Preservation of Rees exact sequences
  9. Pointwise multipliers between weighted copson and cesĂ ro function spaces
  10. Some properties associated to a certain class of starlike functions
  11. Asymptotic properties of noncanonical third order differential equations
  12. Existence and regularity results for unilateral problems with degenerate coercivity
  13. Direct and inverse approximation theorems of functions in the Orlicz type spaces 𝓱M
  14. Some approximation properties of a kind of (p, q)-Phillips operators
  15. Best proximity points for a new type of set-valued mappings
  16. Weakly demicompact linear operators and axiomatic measures of weak noncompactness
  17. Fixed point results for F𝓡-generalized contractive mappings in partial metric spaces
  18. Einstein-Weyl structures on trans-Sasakian manifolds
  19. Characterizations of linear Weingarten space-like hypersurface in a locally symmetric Lorentz space
  20. ∗-Ricci solitons and gradient almost ∗-Ricci solitons on Kenmotsu manifolds
  21. Uncorrelatedness sets of discrete random variables via Vandermonde-type determinants
  22. A note on the consistency of wavelet estimators in nonparametric regression model under widely orthant dependent random errors
  23. On adaptivity of wavelet thresholding estimators with negatively super-additive dependent noise
  24. Generalized Meir-Keeler type contractions and discontinuity at fixed point II
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