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  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
 

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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

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)

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

한국수학교육학회지시리즈B:순수및응용수학