COMPATIBILITY OF TYPE P IN MODIFIED INTUITIONISTIC FUZZY METRIC SPACE
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Authors
SHOBHA JAIN
- Quantum School of Technology, Roorkee (U.K), India.
SHISHIR JAIN
- Shri Vaishnav Institute of Technology and Science, Indore (M.P.), India.
LAL BAHADUR JAIN
- Retd. Principal, Govt. Arts and Commerce College , Indore (M.P.), India.
Abstract
The object of this paper is to establish unique common fixed point theorems
for four self maps satisfying a new contractive condition in a modified intuitionistic fuzzy
metric space through compatibility of type (P). A generalization of a result of D Turkoglu
et al [J. Apply. Math. Computing (2006)] in the setting of a modified intuitionistic fuzzy
metric space follows from them. Modified intuitionistic fuzzy version of Grabiec contraction
Principle has also been established. All the results presented in this paper are new. Examples
have been constructed in support of the main results of this paper.
Share and Cite
ISRP Style
SHOBHA JAIN, SHISHIR JAIN, LAL BAHADUR JAIN, COMPATIBILITY OF TYPE P IN MODIFIED INTUITIONISTIC FUZZY METRIC SPACE , Journal of Nonlinear Sciences and Applications, 3 (2010), no. 2, 96-109
AMA Style
JAIN SHOBHA, JAIN SHISHIR, JAIN LAL BAHADUR, COMPATIBILITY OF TYPE P IN MODIFIED INTUITIONISTIC FUZZY METRIC SPACE . J. Nonlinear Sci. Appl. (2010); 3(2):96-109
Chicago/Turabian Style
JAIN, SHOBHA, JAIN, SHISHIR, JAIN, LAL BAHADUR. " COMPATIBILITY OF TYPE P IN MODIFIED INTUITIONISTIC FUZZY METRIC SPACE ." Journal of Nonlinear Sciences and Applications, 3, no. 2 (2010): 96-109
Keywords
- Modified intuitionistic fuzzy metric space
- common fixed points
- compatible maps of type (P)
- weak compatible maps
- t-norm
- t-conorm.
MSC
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