WEAKER FORMS OF COMMUTING MAPS AND EXISTENCEOF FIXED POINTS

Singh, S.L.; Singh, S.L.; Tomar, Anita; Tomar, Anita

P-ISSN1226-0657
E-ISSN2287-6081
KCI

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Vol.10 No.3

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WEAKER FORMS OF COMMUTING MAPS AND EXISTENCEOF FIXED POINTS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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.
Tomar, Anita

Singh,, S. , & Tomar,, A. (2003). WEAKER FORMS OF COMMUTING MAPS AND EXISTENCEOF FIXED POINTS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 10(3), 145-161.

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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

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Article Contents

Vol.10 No.3

WEAKER FORMS OF COMMUTING MAPS AND EXISTENCEOF FIXED POINTS

Abstract

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics