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A general fixed point theorem for two pairs of mappings satisfying a mixed implicit relation

  • Valeriu Popa EMAIL logo and Alina-Mihaela Patriciu
Published/Copyright: May 18, 2018
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Mathematica Slovaca
From the journal Mathematica Slovaca Volume 68 Issue 3

Abstract

In this paper a general fixed point theorem for mappings with a new type of common limit range property satisfying a mixed implicit relation is proved. In the last part of the paper, as application, some fixed point results for mappings satisfying contractive conditions of integral type and for φ-contractive mappings are obtained.

MSC 2010: 54H25; 47H10
Keywords: fixed point; almost altering distance; common limit range property; mixed implicit relation

Communicated by David Buhagiar

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Received: 2016-5-3
Accepted: 2016-10-12
Published Online: 2018-5-18
Published in Print: 2018-6-26

© 2018 Mathematical Institute Slovak Academy of Sciences

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https://doi.org/10.1515/ms-2017-0132
Keywords for this article
fixed point; almost altering distance; common limit range property; mixed implicit relation

Articles in the same Issue

  2. Small-large subgroups of the reals
  4. Structural properties of algebras of S-probabilities
  6. Approximation in quantum measure spaces
  8. On Fibonomial sums identities with special sign functions: analytically q-calculus approach
  10. On the proximity of multiplicative functions to the number of distinct prime factors function
  12. Truncated euler polynomials
  14. Growth series of crossed and two-sided crossed products of cyclic groups
  16. Weakly U-abundant semigroups with strong Ehresmann transversals
  18. Iterative learning control with pulse compensation for fractional differential systems
  20. Rectifiable and nonrectifiable solution curves of half-linear differential systems
  22. Uniqueness properties of meromorphic functions in the light of three shared sets
  24. A new family of analytic functions defined by means of Rodrigues type formula
  26. Perturbation analysis of a nonlinear equation arising in the Schaefer-Schwartz model of interest rates
  28. On the solutions of a second-order difference equation in terms of generalized Padovan sequences
  30. Fixed points in C∗-algebra valued b-metric spaces endowed with a graph
  32. A general fixed point theorem for two pairs of mappings satisfying a mixed implicit relation
  34. Productively sequential spaces
  36. Euler classes of vector bundles over iterated suspensions of real projective spaces
  38. The stationary distribution and ergodicity of a stochastic mutualism model
  40. Restricted injective dimensions over local homomorphisms
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