In this paper we obtain some stability results for fixed point sets associated with a sequence of multivalued mappings. We define multivalued a–w contractions and multivalued a-admissible mappings. We use Hausdorff distance in our definition. We show that the fixed point sets of uniformly convergent sequences of multivalued a–w contractions which are also assumed to be multivalued a-admissible, are stable under certain conditions. The multivalued mappings we define here are not necessarily continuous. We present two illustrative examples and one open problem.
Choudhury, B. S., & Bandyopadhyay, C. (2015). A new multivalued contraction and stability of its fixed point sets. Journal of the Egyptian Mathematical Society, 23(2), 321-325. doi: 10.1016/j.joems.2014.05.004
MLA
Binayak S. Choudhury; Chaitali Bandyopadhyay. "A new multivalued contraction and stability of its fixed point sets", Journal of the Egyptian Mathematical Society, 23, 2, 2015, 321-325. doi: 10.1016/j.joems.2014.05.004
HARVARD
Choudhury, B. S., Bandyopadhyay, C. (2015). 'A new multivalued contraction and stability of its fixed point sets', Journal of the Egyptian Mathematical Society, 23(2), pp. 321-325. doi: 10.1016/j.joems.2014.05.004
VANCOUVER
Choudhury, B. S., Bandyopadhyay, C. A new multivalued contraction and stability of its fixed point sets. Journal of the Egyptian Mathematical Society, 2015; 23(2): 321-325. doi: 10.1016/j.joems.2014.05.004
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