Cyclic admissible multivalued contraction and an application to cyclic mappings
DOI :
https://doi.org/10.5269/bspm.78987Résumé
We prove the existence of coincidence point for a hybrid pair as well as a pair of single valued mappings satisfying certain cyclic type contractive conditions in the framework of b-metric spaces. Our results are illustrated with examples and an application to cyclic mappings.
Références
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2. H. Aydi, M. F. Bota, E. Karapınar, S. Mitrovi´c, A fixed point theorem for set-valued quasi-contractions in b-metric spaces, Fixed Point Theory Appl. 2012, :88, 8 pp, (2012).
3. J. H. Asl, S. Rezapour, N. Shahzad, On fixed points of α-ψ-contractive multifunctions, Fixed Point Theory Appl. 2012, 212, 6 pp, (2012).
4. M. Boriceanu, Fixed point theory for multivalued generalized contraction on a set with two b-metrics, Stud. Univ. Babe¸s-Bolyai Math. 54 , no. 3, 3–14, (2009).
5. S. Czerwik, Contraction mappings in b-metric spaces, Acta Math. Inform. Univ. Ostraviensis 1 , 5–11, (1993),.
6. G. Jungck, B. E. Rhoades, Fixed points for set valued functions without continuity. Indian J. Pure Appl. Math. 29 , no. 3, 227–238, (1998).
7. H. Kaneko, S. Sessa, Fixed point theorems for compatible multi-valued and single-valued mappings, Internat. J. Math. Math. Sci. 12 , no. 2, 257–262, (1989).
8. P. Kaushik, S.Kumar, Fixed point results for (α, ψ, ξ)-contractive compatible multi-valued mappings, Journal of Nonlinear Analysis and Application,2 , 28-36,(2016).
9. B. Samet, C. Vetro, P. Vetro, Fixed point theorems for α-ψ-contractive type mappings, Nonlinear Anal. 75 , no. 4, 2154–2165,(2012).
10. O. Yamaoda, W. Sintunavarata, Fixed point theorems for (α, β)-(ψ, φ)-contractive mappings in b-metric spaces with some numerical results and applications, J. Nonlinear Sci. Appl. 9 , no. 1, 22–33,(2016).
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Publié
2025-10-01
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Conf. Issue: Advances in Nonlinear Analysis and Applications
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