Taieb Hamaizia, Stojan Radenović, Arsalan Hojjat Ansari, “Coincidence and common fixed point theorems for hybrid mappings via <nobr>$C$</nobr>-class function”, J. Sib. Fed. Univ. Math. Phys., 2024, Volume 17, Issue 2,Pages <nobr>282

Coincidence and common fixed point theorems for hybrid mappings via $C$-class function

Taieb Hamaizia^a, Stojan Radenović^b, Arsalan Hojjat Ansari^c

^a Laboratory of Dynamical Systems and Control, Department of Mathematics and Informatics, Larbi Ben M’Hidi University, Algeria
^b Faculty of Mechanical Engineering, University of Belgrade, Beograd, Serbia
^c Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, Pretoria, Medunsa-0204, South Africa

Abstract: In this paper, we prove common fixed point theorems for two pairs of hybrid mappings in metric spaces using the concept of $C$-class function and $T$-weak commutativity. Our Theorems generalize some well-know results.

Keywords: metric space, hybrid Mappings, $C$-class function.

UDC: 515

Received: 10.08.2023
Received in revised form: 27.09.2023
Accepted: 04.02.2024

Language: English