WEAKER FORMS OF COMMUTING MAPS AND EXISTENCE OF FIXED POINTS
WEAKER FORMS OF COMMUTING MAPS AND EXISTENCEOF FIXED POINTS
한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2003, v.10 no.3, pp.145-161
Singh, S.L.
(Department Of Mathematics, Gurukula Kangri Vishwavidyalaya)
Tomar, Anita
(Department Of Mathematics, Gurukula Kangri Vishwavidyalaya)
Singh, S.L.,
&
Tomar, Anita.
(2003). WEAKER FORMS OF COMMUTING MAPS AND EXISTENCE OF FIXED POINTS. 한국수학교육학회지시리즈B:순수및응용수학, 10(3), 145-161.
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
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fixed point,
weakly commuting maps,
R-weakly commuting maps,
compatible maps,
biased maps,
intimate maps