Results in Mathematics

, 74:149 | Cite as

Revisiting Bianchini and Grandolfi Theorem in the Context of Modified \(\omega \)-Distances

  • Carmen Alegre Gil
  • Erdal KarapınarEmail author
  • Josefa Marín Molina
  • Pedro Tirado Peláez


In this paper, we establish a proof for Bianchini and Grandolfi Theorem in the context of quasi-metric spaces via modified \(\omega \)-distances. As consequences of our main results, we derive several existing fixed point theorems in the literature. Various examples are presented to illustrate our obtained results.


\(\omega \)-Distance modified-\(\omega \)-distance quasi-metric space Bianchini and Grandolfi function (C)-comparison function fixed point 

Mathematics Subject Classification

47H10 54H25 



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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Instituto Universitario de Matemática Pura y AplicadaUniversitat Politècnica de ValènciaValenciaSpain
  2. 2.Department of Medical Research, China Medical University HospitalChina Medical UniversityTaichongTaiwan

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