Fixed points of α-type F-contractive mappings with an application to nonlinear fractional differential equation

Calogero Vetro, Dhananjay Gopal, Deepesh Kumar Patel, Mujahid Abbas

Risultato della ricerca: Articlepeer review

20 Citazioni (Scopus)

Abstract

In this paper, we introduce new concepts of α-type F-contractive mappings which are essentially weaker than the class of F-contractive mappings given in [21, 22] and different from α-GF-contractions given in [8]. Then, sufficient conditions for the existence and uniqueness of fixed point are established for these new types of contractive mappings, in the setting of complete metric space. Consequently, the obtained results encompass various generalizations of the Banach contraction principle. Moreover, some examples and an application to nonlinear fractional differential equation are given to illustrate the usability of the new theory.
Lingua originaleEnglish
pagine (da-a)957-970
Numero di pagine14
RivistaActa Mathematica Scientia
Volume36
Stato di pubblicazionePublished - 2016

All Science Journal Classification (ASJC) codes

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  • ???subjectarea.asjc.3100.3100???

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