TY - JOUR
T1 - On non-unique fixed point of Ćirić type operators in extended b-metric spaces and applications
AU - Khan, Mohammad Saeed
AU - Singh, Yumnam Mahendra
AU - Abbas, Mujahid
AU - Rakočević, Vladimir
N1 - Publisher Copyright:
© 2019, Springer-Verlag Italia S.r.l., part of Springer Nature.
PY - 2020/12/1
Y1 - 2020/12/1
N2 - The purpose of this paper is to obtain fixed points of Ćirić type operators in the framework of extended b-metric space introduced by Kamran et al. (Mathematics 5:19, 2017). Our results unify and improve the results of Alqahtani et al. (Mathematics 6:68, 2018), Alsulami et al. (Filomat 3(11): 3147–3156, 2017) and others. As an application of our result, we establish an existence of solution of nonlinear Fredholm integral equation. A numerical example is also presented to support our result.
AB - The purpose of this paper is to obtain fixed points of Ćirić type operators in the framework of extended b-metric space introduced by Kamran et al. (Mathematics 5:19, 2017). Our results unify and improve the results of Alqahtani et al. (Mathematics 6:68, 2018), Alsulami et al. (Filomat 3(11): 3147–3156, 2017) and others. As an application of our result, we establish an existence of solution of nonlinear Fredholm integral equation. A numerical example is also presented to support our result.
KW - Comparison function
KW - Extended b-metric space
KW - Fredholm integral equation
KW - Non unique fixed point
KW - Orbitally continuous
KW - α-orbital admissible
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U2 - 10.1007/s12215-019-00467-4
DO - 10.1007/s12215-019-00467-4
M3 - Article
AN - SCOPUS:85074832807
SN - 0009-725X
VL - 69
SP - 1221
EP - 1241
JO - Rendiconti del Circolo Matematico di Palermo
JF - Rendiconti del Circolo Matematico di Palermo
IS - 3
ER -