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Bhavana Deshpande,Suresh Chouhan 영남수학회 2012 East Asian mathematical journal Vol.28 No.5
The aim of this paper is to prove a common fixed point theo- rem in normed linear spaces for discontinuous, occasionally weakly biased mappings without assuming completeness of the space. We give an exam- ple to illustrare our theorem. We also give an application of our theorem to best approximation theory. Our theorem improve the results of Gre- gus [9], Jungck [12], Pathak, Cho and Kang [22], Sharma and Deshpande [26]-[28].
Deshpande, Bhavana,Chouhan, Suresh The Youngnam Mathematical Society 2012 East Asian mathematical journal Vol.28 No.5
The aim of this paper is to prove a common fixed point theorem in normed linear spaces for discontinuous, occasionally weakly biased mappings without assuming completeness of the space. We give an example to illustrare our theorem. We also give an application of our theorem to best approximation theory. Our theorem improve the results of Gregus [9], Jungck [12], Pathak, Cho and Kang [22], Sharma and Deshpande [26]-[28].
COMMON FIXED POINT THEOREM FOR MULTIMAPS ON MENGER L-FUZZY METRIC SPACE
Bhavana Deshpande,Suresh Chouhan 한국수학교육학회 2013 純粹 및 應用數學 Vol.20 No.1
In this paper, we obtain a common ¯xed point theorem for multivalued mappings in a complete Menger L-fuzzy metric space. L-fuzzy metric space is a generalization of fuzzy metric spaces and intuitionistic fuzzy metric spaces. We extend and generalize the results of Kubiaczyk and Sharma [24], Sharma, Kutukcu and Rathore [34].
(DS)-WEAK COMMUTATIVITY CONDITION AND COMMON FIXED POINT IN INTUITIONISTIC MENGER SPACES
Sushil Sharma,Bhavana Deshpande,Suresh Chouhan 한국수학교육학회 2011 純粹 및 應用數學 Vol.18 No.3
The aim of this paper is to de¯ne 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 ¯xed 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.