Multivalued hardy-rogers type z θ -contraction and generalized simulation functions
Filomat, Tome 36 (2022) no. 1, p. 1
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The purpose of this paper is to introduce the notion of multivalued Hardy-Rogers Z Θ-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
Classification :
47H10
Keywords: Hardy-Rogers type contractions, Data dependence, well-posedness, Ulam-Hyres stability
Keywords: Hardy-Rogers type contractions, Data dependence, well-posedness, Ulam-Hyres stability
Ahsan Ali; Azhar Hussain; Zoran D Mitrović. Multivalued hardy-rogers type z θ -contraction and generalized simulation functions. Filomat, Tome 36 (2022) no. 1, p. 1 . doi: 10.2298/FIL2201001A
@article{10_2298_FIL2201001A,
author = {Ahsan Ali and Azhar Hussain and Zoran D Mitrovi\'c},
title = {Multivalued hardy-rogers type z \ensuremath{\theta} -contraction and generalized simulation functions},
journal = {Filomat},
pages = {1 },
year = {2022},
volume = {36},
number = {1},
doi = {10.2298/FIL2201001A},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2201001A/}
}
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