The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)
- Volume 10 Issue 3
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- Pages.145-161
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- 2003
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- 1226-0657(pISSN)
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- 2287-6081(eISSN)
WEAKER FORMS OF COMMUTING MAPS AND EXISTENCE OF FIXED POINTS
- Singh, S.L. (Department Of Mathematics, Gurukula Kangri Vishwavidyalaya) ;
- Tomar, Anita (Department Of Mathematics, Gurukula Kangri Vishwavidyalaya)
- Published : 2003.08.01
Abstract
Weak commutativity of a pair of maps was introduced by Sessa [On a weak commutativity condition of mappings in fixed point considerations. Publ. Inst. Math. (Beograd) (N.S.) 32(40) (1982),149-153] in fixed point considerations. Thereafter a number of generalizations of this notion has been obtained. The purpose of this paper is to present a brief development of weaker forms of commuting maps, and to obtain two fixed point theorems for noncommuting and noncontinuous maps on noncomplete metric spaces.
Keywords
- fixed point;
- weakly commuting maps;
- R-weakly commuting maps;
- compatible maps;
- biased maps;
- intimate maps