ICAR Research Data Repository for Knowledge Management
Best proximity pair theorems
DSpace at IIT Bombay
View Archive Info| Field | Value | |
| Title |
Best proximity pair theorems
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| Creator |
BASHA, SS
VEERAMANI, P PAI, DV |
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| Subject |
fixed-points
approximations kakutani factorizable multifunction best proximity pair theorem random operator and random fixed point |
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| Description |
Let A be a non-empty approximately p-compact convex subset and B be a non-empty closed convex subset of a Hausdorff locally convex topological vector space E will a continuous semi-norm p. Given a Kakutani factorizable multifunction T: A --> 2(B) and a single valued function g: A --> A, best proximity pair theorems furnishing the sufficient conditions for the existence of an element x(0) is an element of A such that d(p) (gx(0), Tx(0)) = d(p) (A, B), are proved. Indeed, a generalization of Ky Fan's fixed point theorem for multifunctions is a consequence of a best proximity pair theorem. Also, a stochastic analogue of a best proximity pair theorem is proved.
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| Publisher |
INDIAN NAT SCI ACAD
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| Date |
2011-08-02T15:03:34Z
2011-12-26T12:53:57Z 2011-12-27T05:41:09Z 2011-08-02T15:03:34Z 2011-12-26T12:53:57Z 2011-12-27T05:41:09Z 2001 |
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| Type |
Article
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| Identifier |
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 32(8), 1237-1246
0019-5588 http://dspace.library.iitb.ac.in/xmlui/handle/10054/8840 http://hdl.handle.net/10054/8840 |
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| Language |
en
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