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http://dx.doi.org/10.7468/jksmeb.2011.18.3.201

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

Sharma, Sushil (Department of Mathematics, Madhav Science College)
Deshpande, Bhavana (Department of Mathematics, Govt. Arts & Science P. G. College)
Chouhan, Suresh (Department of Mathematics, Govt. Girls College)
Publication Information
The Pure and Applied Mathematics / v.18, no.3, 2011 , pp. 201-217 More about this Journal
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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