scholarly journals Common Fixed Point Theorems in Modified Intuitionistic Fuzzy Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-13 ◽  
Author(s):  
Saurabh Manro ◽  
Sanjay Kumar ◽  
S. S. Bhatia ◽  
Kenan Tas
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fuzzy Metric Space ◽  
Fuzzy Metric ◽  
Intuitionistic Fuzzy ◽  
Continuous Mappings ◽  
Common Fixed Point Theorems

This paper consists of main two sections. In the first section, we prove a common fixed point theorem in modified intuitionistic fuzzy metric space by combining the ideas of pointwiseR-weak commutativity and reciprocal continuity of mappings satisfying contractive conditions. In the second section, we prove common fixed point theorems in modified intuitionistic fuzzy metric space from the class of compatible continuous mappings to noncompatible and discontinuous mappings. Lastly, as an application, we prove fixed point theorems using weakly reciprocally continuous noncompatible self-mappings on modified intuitionistic fuzzy metric space satisfying some implicit relations.

scholarly journals Fixed point theorems on expansion type maps in intuitionistic fuzzy metric space

1970 ◽  
Vol 7 (1) ◽  
pp. 38-47
Author(s):  
MS Chauhan ◽  
Bijendra Singh ◽  
Bharat Singh
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fuzzy Sets ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Fuzzy Metric Space ◽  
Fuzzy Metric ◽  
Type Mapping ◽  
Intuitionistic Fuzzy ◽  
Almost All

Ever since the introduction of fuzzy sets by Zadeh [1] , the fuzzyness invaded almost all the branches of crisp mathematics. Deng [3] kaleva and Seikalla [2] and Kramosil and Michalek [5]Have introduced the concept of fuzzy metric space, George and Veeramani [4] modified the concept of fuzzy metric space introduced by kramosil and michalek [5]. In thia paper effort has been made to obtain some results on fixed points of expansion type mapping in Intuitionistic fuzzy metric space DOI: http://dx.doi.org/ 10.3126/kuset.v7i1.5420 KUSET 2011; 7(1): 38-47

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