Open AccessMultivalued Hardy-Rogers type ЗΘ-contraction and generalized simulation functions
Author(s) -
Ahsan Ali,
Azhar Hussain,
Zoran D. Mitrović
Publication year - 2022
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2201001a
Subject(s) - mathematics , contraction (grammar) , fixed point , fixed point theorem , nonlinear system , fractional calculus , contraction principle , contraction mapping , type (biology) , mathematical analysis , pure mathematics , medicine , ecology , physics , quantum mechanics , biology
The purpose of this paper is to introduce the notion of multivalued Hardy-Rogers ??-contraction in the sense of generalized simulation functions and to present the corresponding fixed point results with some examples. Moreover, we study the strict fixed point and well-posedness, data dependence, as well as, the Ulam-Hyres stability of the fixed point problem. As an application, we prove the existence of the solution for nonlinear fractional differential equation involving Caputo fractional derivative.