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

ISSN : 1226-0657

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Vol.18 No.3

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2011, v.18 no.3, pp.201-217
https://doi.org/10.7468/jksmeb.2011.18.3.201
Sharma, Sushil
Deshpande, Bhavana
Chouhan, Suresh
Sharma,, S. , Deshpande,, B. , & Chouhan,, S. (2011). (DS)-WEAK COMMUTATIVITY CONDITION AND COMMON FIXED POINT IN INTUITIONISTIC MENGER SPACES. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 18(3), 201-217, https://doi.org/10.7468/jksmeb.2011.18.3.201

Abstract

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.

keywords
common fixed point, intutionistic Menger space, (DS)-weak commutativity, IM-strongly bounded set

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