scholarly journals Zs-contractive mappings and weak compatibility in fuzzy metric space

2019 ◽  
Vol 23 (2) ◽  
pp. 59-68
Author(s):  
Shobha Jain ◽  
Shishir Jain
Keyword(s):  
Metric Space ◽  
Fuzzy Metric Space ◽  
Fuzzy Metric ◽  
Contractive Mappings ◽  
Weak Compatibility

scholarly journals Fixed Point Theorems for Generalized Kannan-Type Mappings in a New Type of Fuzzy Metric Space

2020 ◽  
Vol 2020 ◽  
pp. 1-16
Author(s):  
Mi Zhou ◽  
Xiao-lan Liu ◽  
Nicolae Adrian Secelean
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fuzzy Metric Space ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Weak Compatibility ◽  
New Type ◽  
Common Fixed Point Theorems

In this paper, first, we introduce a new type of S∗−fuzzy metric space which is a generalization of fuzzy metric spaces. Second, we study the topological properties of S∗−fuzzy metric spaces. Finally, we extend Kannan-type mappings to generalized Kannan-type mappings under ϕ−gauge functions introduced by Fang in S∗−fuzzy metric spaces and prove the existence and uniqueness of fixed point for this kind of mappings. Furthermore, we also obtain the common fixed point theorems for weak compatibility along with E.A. property or CLRg property. Our results extend and improve very recent theorems in the related literature.

Horizontal weak compatibility of mappings and common fixed points in dislocated fuzzy metric space

2014 ◽  
Vol 8 ◽  
pp. 5641-5652
Author(s):  
Reny George ◽  
Hossam A Nabwey ◽  
K.P. Reshma ◽  
R. Rajagopalan
Keyword(s):  
Fixed Points ◽  
Metric Space ◽  
Common Fixed Points ◽  
Fuzzy Metric Space ◽  
Fuzzy Metric ◽  
Weak Compatibility

scholarly journals A fixed point theorem in a generalized fuzzy metric space

2014 ◽  
Vol 32 (2) ◽  
pp. 221 ◽  
Author(s):  
Binod Chandra Tripathy ◽  
Sudipta Paul ◽  
Nanda Ram Das
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Fuzzy Metric Space ◽  
Fuzzy Mapping ◽  
Fuzzy Metric

We prove a fixed point theorem for uniformly locally contractive fuzzy mapping in a generalized fuzzy metric space.

Vector-valued variational principle in fuzzy metric space and its applications

2001 ◽  
Vol 119 (2) ◽  
pp. 343-354 ◽  
Author(s):  
Jiang Zhu ◽  
Cheng-Kui Zhong ◽  
Ge-Ping Wang
Keyword(s):  
Variational Principle ◽  
Metric Space ◽  
Fuzzy Metric Space ◽  
Fuzzy Metric ◽  
Vector Valued
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