WEAKER FORMS OF COMMUTING MAPS AND EXISTENCEOF FIXED POINTS

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

P-ISSN3059-0604
E-ISSN3059-1309
KCI

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ISSN : 3059-0604

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Vol.10 No.3

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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: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309

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. , 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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논문 상세

Vol.10 No.3

WEAKER FORMS OF COMMUTING MAPS AND EXISTENCE OF FIXED POINTS

WEAKER FORMS OF COMMUTING MAPS AND EXISTENCEOF FIXED POINTS

Abstract

한국수학교육학회지시리즈B:순수및응용수학