Open AccessFixed point theorems for generalized \(\left( \psi ,\varphi ,F\right) \)-contraction type mappings in \(b\)-metric spaces with applications
Author(s) -
Taieb Hamaizia
Publication year - 2021
Publication title -
open journal of mathematical analysis
Language(s) - English
Resource type - Journals
eISSN - 2616-8111
pISSN - 2616-8103
DOI - 10.30538/psrp-oma2021.0080
Subject(s) - mathematics , metric space , fixed point theorem , contraction (grammar) , pure mathematics , type (biology) , fixed point , class (philosophy) , mathematical analysis , discrete mathematics , computer science , medicine , ecology , artificial intelligence , biology
The purpose of this paper is to prove a fixed point theorem for \(C\)-class functions in complete \(b\)-metric spaces. Moreover, the solution of the integral equation is obtained using our main result.