scholarly journals Common Fixed Point Theorems for non Compatible Mappings in Intuitionistic Fuzzy Metric space

2012 ◽  
Vol 39 (3) ◽  
pp. 32-36
Author(s):  
Saurabh Manro
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Fuzzy Metric Space ◽  
Compatible Mappings ◽  
Fuzzy Metric ◽  
Intuitionistic Fuzzy ◽  
Common Fixed Point Theorems

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 Common Fixed Point Theorems in a New Fuzzy Metric Space

2012 ◽  
Vol 2012 ◽  
pp. 1-18 ◽  
Author(s):  
Weiquan Zhang ◽  
Dong Qiu ◽  
Zhifeng Li ◽  
Gangqiang Xiong
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Positive Real Number ◽  
Fuzzy Metric Space ◽  
Positive Real ◽  
Fuzzy Metric ◽  
Contraction Condition ◽  
Common Fixed Point Theorems

We generalize the Hausdorff fuzzy metric in the sense of Rodríguez-López and Romaguera, and we introduce a newM∞-fuzzy metric, whereM∞-fuzzy metric can be thought of as the degree of nearness between two fuzzy sets with respect to any positive real number. Moreover, underϕ-contraction condition, in the fuzzy metric space, we give some common fixed point theorems for fuzzy mappings.

scholarly journals Common Fixed Point Theorem in Intuitionistic Fuzzy Metric Space Using Compatible Mappings of Type (K)

2014 ◽  
Vol 10 ◽  
pp. 53-58
Author(s):  
K.B. Manandhar ◽  
K. Jha ◽  
Y.J. Cho
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fuzzy Metric Space ◽  
Compatible Mappings ◽  
Fuzzy Metric ◽  
Intuitionistic Fuzzy ◽  
Type K ◽  
Common Fixed Point Theorem

In this paper, we introduce the notion of compatible mappings of type (K) in intuitionistic fuzzy metric space and obtain a common fixed point theorem for self mappings on complete intuitionistic fuzzy metric space with example. Our result generalizes and improves other similar results in literature.

Fixed Point Theorems for Faintly Compatible Mappings in Intuitionistic Fuzzy Metric Space

2017 ◽  
Vol 84 (1-2) ◽  
pp. 130 ◽  
Author(s):  
Kamal Wadhwa ◽  
Ved Prakash Bhardwaj
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Compatible Mappings ◽  
Fuzzy Metric ◽  
Intuitionistic Fuzzy ◽  
Continuous Mappings ◽  
Common Fixed Point Theorems

In this paper, we correct the contractive condition of Manro and Kang [16] and prove some common fixed point theorems for four faintly compatible mappings using subsequential continuous mappings in Intuitionistic Fuzzy metric spaces. We also provide an example in support of our main result. Our results improve and generalize the results of Manro and Kang [16].

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