A new multivalued contraction and stability of its fixed point sets
Choudhury, B., Bandyopadhyay, C. (2015). A new multivalued contraction and stability of its fixed point sets. EKB Journal Management System, 23(2), 321-325. doi: 10.1016/j.joems.2014.05.004
Binayak S. Choudhury; Chaitali Bandyopadhyay. "A new multivalued contraction and stability of its fixed point sets". EKB Journal Management System, 23, 2, 2015, 321-325. doi: 10.1016/j.joems.2014.05.004
Choudhury, B., Bandyopadhyay, C. (2015). 'A new multivalued contraction and stability of its fixed point sets', EKB Journal Management System, 23(2), pp. 321-325. doi: 10.1016/j.joems.2014.05.004
Choudhury, B., Bandyopadhyay, C. A new multivalued contraction and stability of its fixed point sets. EKB Journal Management System, 2015; 23(2): 321-325. doi: 10.1016/j.joems.2014.05.004

A new multivalued contraction and stability of its fixed point sets

Journal of the Egyptian Mathematical Society
Volume 23, Issue 2, 2015, Page 321-325  XML PDF (418.99 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.05.004
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Authors
Binayak S. Choudhury; Chaitali Bandyopadhyay*
Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah 711103, India
Abstract
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. 
Keywords
Metric space; Fixed point set; Hausdorff metric; Multivalued a–w contraction; Stability
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