Common fixed points for multivalued mappings in ordered partial metric space
DOI:
https://doi.org/10.14419/ijamr.v4i2.4233Keywords:
Multivalued operators, Ordered complete partially metric space, Common fixed point.Abstract
In the present work, we establish some common fixed point results for a pair of weakly isotone increasing set-valued mappings in a ordered complete partial metric space.
References
[1] I. Altun, F. Sola, H. Simsek, Generalized contractions on partial metric spaces. Topol. Appl. 157, 2778-2785 (2010).
[2] H. Aydi, M. Abbas, C. Vetro, Partial Hausdorff metric and Nadlers fixed point theorem on partial metric spaces. Topol. Appl. 159, 3234-3242 (2012).
[3] C. Di Bari, M. Milojevic, S. Radenovic, P. Vetro, Common fixed points for self-mappings on partial metric spaces. Fixed Point Theory Appl, 2012, 2012: 140.
[4] B.C. Dhage, D. O'Regan, R.P. Agarwal, Common fixed point theorems for a pair of countably condensing mappings in ordered Banach spaces, J. Appl. Math. Stochastic Anal. 16 (2003) 243-248.
[5] A. Erduran, Common fixed point of g- approximative multivalued mapping in orderred partial metric space. Fixed Point Theory and Applications. 2013 doi:10.1186/1687-1812-2013-36.
[6] S. Hong, Fixed points of multivalued operators in ordered metric spaces with applications. Nonlinear Anal., 72 (2010),
3929-3942.
[7] D. Ilic, V. Pavlovic, V.Rakocevic, Some new extensions of Banach's contractions principle in partial metric spaces. Appl Math Lett, 2011, 24: 1326-1330.
[8] D. Ilic, V. Pavlovic, V. Rakocevic, Extensions of Zamfirescu theorem to partial metric spaces. Math Comput Model, 2012, 55: 801-809.
[9] Z. Kadelburg, H. K. Nashine, S. Radenovic, Fixed point results under various contractive conditions in partial metric spaces. RASCAM, 2013, 107(2): 241-256.
[10] S. G. Matthews, Partial metric topology. In: Proceedings of the 8th Summer Conference on General Topology and Applications. Ann. New York Acad. Sci. 728, 183-197 (1994).
[11] H. K. Nashine, Z. Kadelburg, S. Radenovic, J. K. Kim, Fixed point theorems under Hardy-Rogers weak contractive conditions on 0-complete ordered partial metric spaces. Fixed Point Theory Appl. 2012, 180 (2012). doi:10.1186/1687-1812-2012-180.
[12] H. K. Nashine, Z. Kadelburg , S. Radenovic, Common fixed point theorems for weakly isotone increasing mappings in ordered partial metric spaces. Math Comput Model, 2013, 57(9/10): 2355-2365.
[13] S. Oltra, O. Valero, Banach's fixed point theorem for partial metric spaces. Rend Istit Math Univ Trieste, 2004, 36: 1726 .
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How to Cite
Received date: January 28, 2015
Accepted date: February 23, 2015
Published date: March 10, 2015