• Title/Summary/Keyword: IM-strongly bounded set

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(DS)-WEAK COMMUTATIVITY CONDITION AND COMMON FIXED POINT IN INTUITIONISTIC MENGER SPACES

  • Sharma, Sushil;Deshpande, Bhavana;Chouhan, Suresh
    • The Pure and Applied Mathematics
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    • v.18 no.3
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    • pp.201-217
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    • 2011
  • The aim of this paper is to define a new commutativity condition for a pair of self mappings i.e., (DS)-weak commutativity condition, which is weaker that compatibility of mappings in the settings of intuitionistic Menger spaces. We show that a common fixed point theorem can be proved for nonlinear contractive condition in intuitionistic Menger spaces without assuming continuity of any mapping. To prove the result we use (DS)-weak commutativity condition for mappings. We also give examples to validate our results.