Journal of the Chungcheong Mathematical Society (충청수학회지)
- Volume 18 Issue 1
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- Pages.51-64
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- 2005
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
COMMON FIXED POINTS OF A WEAK-COMPATIBLE PAIR OF A SINGLE VALUED AND A MULTIVALUED MAPS IN D-METRIC SPACES
- Singh, Bijendra (School of Studies in Mathematics Vikram University) ;
- Jain, Shobha (M. B. Khalsa College Rajmohalla)
- Received : 2005.02.01
- Published : 2005.04.30
Abstract
The object of this paper is to prove two unique common fixed point theorems for a pair of a set-valued map and a self map satisfying a general contractive condition using orbital concept and weak-compatibility of the pair. One of these results generalizes substantially, the result of Dhage, Jennifer and Kang [4]. Simultaneously, its implications for two maps and one map improves and generalizes the results of Dhage [3], and Rhoades [11]. All the results of this paper are new.