Abstract:
Rational type cyclic contraction via C-class function is established in G-metric spaces, which can not be reduced to the contractive condition in standard metric spaces. A common fixed-point result is obtained for the pair of (A,B)-weakly increasing mappings in G-metric spaces.
Keywords:
G-metric spaces, Cyclic maps, C-class function, Common fixed point.
Funding agency
Grant number
SHODH-Scheme (Gujarat Government)
202001720096
The first author acknowledges the financial support by SHODH-Scheme (Gujarat Government) with student reference number-202001720096.
This publication is cited in the following 2 articles:
A. Gupta, R. Mansotra, “Fixed-point theorems using interpolative Boyd-Wong-type contractions and interpolative Matkowski-type contractions on partial b-metric spaces”, Probl. anal. Issues Anal., 14:1 (2025), 107–118
A. Das, D. Barman, T. Bag, “A new generalization of George & Veeramani-type fuzzy metric space”, Probl. anal. Issues Anal., 13(31):3 (2024), 23–42