Riv. Mat. Univ. Parma, Vol. 12, No. 2, 2021
Mohamed Abdalla [a,b], Zahia Mostefaoui [c] and Fuli He [d]
Some fixed point results in ordered bicomplex-valued metric spaces
Received: 6 March 2020
Accepted in revised form: 11 February 2021
Mathematics Subject Classification: 47H10, 54D99, 54E99.
Keywords: Bicomplex numbers, Partial order, Fixed point, Contraction mapping, Compatible mapping.
[a]:Mathematics Department, Faculty of Science, King Khalid University, Abha 61471, Saudi Arabia.
[b]:Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt.
[c]:Department of Mathematics, E.N.S, B.P. 92 Vieux Kouba, 16050 Algiers, Algeria.
[d]:School of Mathematics and Statistics, Central South University, Changsha 410083, China.
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This research was supported by Deanship of Scientific Research at King Khalid University.
Recently, fixed point results on
bicomplex valued metric spaces have had many applications in
functional analysis, graph theory, probability theory and other
areas. Very recently, Fuli He et al.
(J. Funct. Spaces, 2020, Art. ID 4070324)
introduced fixed point theorems for Mizoguchi-Takahashi
type contraction in bicomplex-valued metric spaces and applications.
In this direction of research, we demonstrate some fixed point
theorems in ordered bicomplex valued metric spaces for type
contraction mappings with illustrative examples. The reported
results here along with those stated in earlier papers were also
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