The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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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
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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.

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