Abstract
We prove fixed point theorems for Suzuki type multifunctions on complete metric spaces. An example is constructed to illustrate that our results are new.
Similar content being viewed by others
References
Aleomraninejad, S.M.A., Rezapour, Sh, Shahzad, N.: On fixed point generalizations of Suzuki’s method. Appl. Math. Lett. 24, 1037–1040 (2011)
Assad, N.A., Kirk, W.A.: Fixed point theorems for set valued mappings of contractive type. Pac. J. Math. 43, 533–562 (1972)
Beg, I., Azam, A.: Fixed points of multivalued locally contractive mappings. Boll. Unione Mat. Ital. (4A) 7, pp. 227–233 (1990)
Beg, I., Azam, A.: Fixed points of asymptotically regular multivalued mappings. J. Aust. Math. Soc. Ser. A 53(3), 313–326 (1992)
Beg, I., Abbas, M.: Fixed points of quasi (f, g)—nonexpansive multivalued mapping. Numer. Funct. Anal. Optim. 33(3), 255–263 (2012)
Hu, T.: Fixed point theorems for multivalued mappings. Can. Math. Bull. 23, 193–197 (1980)
Kikkawa, M., Suzuki, T.: Three fixed point theorem for generalized contractions with constants in complete metric spaces. Nonlinear Anal. 69, 2942–2949 (2008)
Kuhfitting, P.K.: Fixed point of locally contractive and nonexpansive set valued mappings. Pac. J. Math. 65, 399–403 (1976)
Mehmood, N., Azam, A., Beg, I.: Fixed points of Edelstein-type multivalued maps. Rend. Circ. Mat. Palermo 63(3) (2014). doi:10.1007/s12215-014-0166-6
Mizoguchi, N., Takahashi, W.: Fixed point theorems for multi-valued mappings on complete metric spaces. J. Math. Anal. Appl. 141, 177–188 (1989)
Nadler Jr, S.B.: Multi-valued contraction mappings. Pac. J. Math. 30, 475–488 (1969)
Suzuki, T.: Mizoguchi-Takahashi’s fixed point theorem is a real generalization of Nadler’s. J. Math. Anal. Appl. 340(1), 752–755 (2008)
Suzuki, T.: A new type of fixed point theorem in metric space. Nonlinear Anal. 71, 5313–5317 (2009)
Acknowledgments
The authors thank the referees for careful reading and several comments to improve. The present version of the paper owes much to their precise and kind remarks.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Beg, I., Aleomraninejad, S.M.A. Fixed points of Suzuki type multifunctions on metric spaces. Rend. Circ. Mat. Palermo 64, 203–207 (2015). https://doi.org/10.1007/s12215-015-0190-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12215-015-0190-1