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FIXED POINTS OF OCCASIONALLY WEAKLY COMPATIBLE MAPPINGS USING IMPLICIT RELATION

Pant, Badri Datt;Chauhan, Sunny

  • Received : 2011.02.20
  • Published : 2012.07.31

Abstract

In this paper, we prove common fixed point theorems for families of occasionally weakly compatible mappings in Menger spaces using implicit relation. Our results extend and generalize the results of Altun and Turkoglu [9] in the sense that the concept of occasionally weakly compatible maps is the most general among all the commutativity concepts. Also the completeness of the whole space, continuity of the involved maps and containment of ranges amongst involved maps are completely relaxed.

Keywords

triangle norm (t-norm);Menger space;occasionally weakly compatible maps;implicit relation;fixed point

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  1. FIXED POINT THEOREMS IN MENGER SPACES USING AN IMPLICIT RELATION vol.35, pp.4, 2013, https://doi.org/10.5831/HMJ.2013.35.4.551