Advanced search
Publication Cover
Cogent Mathematics Volume 3, 2016 - Issue 1
Submit an article Journal homepage
563
Views
2
CrossRef citations to date
0
Altmetric
Research Article

On new fixed point theorems for three types of (α, β)-(ψ, θ, ϕ)-multivalued contractive mappings in metric spaces

Habes AlsamirFaculty of Science and Technology, School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600UKM, Selangor Darul Ehsan, MalaysiaCorrespondence[email protected]
View further author information
,
Mohd Salmi Md NooraniFaculty of Science and Technology, School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600UKM, Selangor Darul Ehsan, MalaysiaORCID Iconhttps://orcid.org/0000-0003-0572-3059View further author information
ORCID Icon &
Wasfi ShatanawiDepartment of Mathematics, Hashemite University, Zarqa1315, Jordan;Department of Mathematics and general courses, Prince Sultan University, Riyadh, Saudi ArabiaView further author information
|
Lishan LiuQufu Normal University, ChinaView further author information
(Reviewing Editor)
Article: 1257473 | Received 13 Aug 2016, Accepted 25 Oct 2016, Published online: 29 Dec 2016

References

  • Ali, M. U., Kamran, T., & Karapinar, E. (2014). (α, ψ, ξ)- contractive multivalued mappings. Fixed Point Theory and Applications, 2014(7), 8 pp.
  • Alizadeh, S., Moradlou, F., & Salimi, P. (2014). Some fixed point results for (α, β)-(ψ, φ)-contractive mappings. Filomat, 28, 635–647.
  • Aydi, H., Postolache, M., & Shatanawi, W. (2012). Coupled fixed point results for (ψ, φ)-weakly contractive mappings in ordered G-metric spaces. Computers & Mathematics with Applications, 63, 298–309.
  • Aydi, H., Shatanawi, W., & Vetro, C. (2011). On generalized weak G-contraction mapping in G-metric spaces. Computers & Mathematics with Applications, 62, 4223–4229.
  • Hussain, N., Ahmad, J., & Azam, A. (2014). Generalized fixed point theorems for multivalued α−ψ-contractive mappings. Journal of Inequalities and Applications, 2014, 15 pp.
  • Hussain, N., Parvaneh, V., & Hoseini Ghoncheh, S.J. (2014). Generalized contractive mappings and weakly α-admissible pairs in G-metric spaces. The Scientific World Journal, 2014, 15 pp.
  • Jleli, M., Samet, B., Vetro, C., & Vetro, F. (2015). Fixed points for multivalued mappings in b-metric spaces. Abstract and Applied Analysis, 2015, 7 pp. Article ID 718074.
  • Karapinar, E., & Samet, B. (2012). Generalized α−ψ-contractive type mappings and related fixed point theorems with applications. Abstract and Applied Analysis, 2012, 17 pp. Article ID 793486.
  • Khan, M. S. (1976). A fixed point theorem for metric spaces. Rendiconti dell’Istituto di Matematica dell’Università di Trieste, 8, 69–72.
  • Latif, A., Gordji, M.E., Karapinar, E., & Sintunavarat, W. (2014). Fixed point results for generalized (α, ψ)-Meir-Keeler contractive mappings and appplications. Journal of Inequalities and Applications, 2014, 11 pp.
  • Meir, A., & Keeler, E. (1969). A theorem on contraction mappings. Journal of Mathematical Analysis and Applications, 28, 326–329.
  • Nadler, J. (1969). Multivalued contraction mappings. Pacific Journal of Mathematics, 30, 475–488.
  • Redjel, N., Dehici, A., Karapinar, E., & Erhan, E. (2015). Fixed point theorems for (α, β)-Meir-Keeler-Khan mappings. Journal of Nonlinear Science and Applications, 8, 955–964.
  • Samet, B., Vetro, C., & Vetro, P. (2012). Fixed point theorems for a a α, ψ-contractive type mappings. Nonlinear Analysis, 75, 2154–2165.
  • Shatanawi, W., & Postolache, M. (2013). common fixed point results for mappings under nonlinear contraction of cyclic form in ordered metric spaces. Fixed Point Theory and Applications, 60(1), 1–13.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.