scholarly journals Best Proximity Point Theorems for Single and Multivalued Mappings in Fuzzy Multiplicative Metric Space

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Misbah Farheen ◽  
Tayyab Kamran ◽  
Azhar Hussain
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Best Proximity Point ◽  
Fuzzy Metric Space ◽  
Multivalued Mappings ◽  
Proximal Contraction ◽  
Fuzzy Metric ◽  
Multiplicative Metric Space

In this paper, we introduce fuzzy multiplicative metric space and prove some best proximity point theorems for single-valued and multivalued proximal contractions on the newly introduced space. As corollaries of our results, we prove some fixed-point theorems. Also, we present best proximity point theorems for Feng-Liu-type multivalued proximal contraction in fuzzy metric space. Moreover, we illustrate our results with some interesting examples.

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 A Triple Fixed Point Theorem for Multimap in a Hausdorff Fuzzy Metric Space

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
K. P. R. Rao ◽  
K. R. K. Rao
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Fuzzy Metric Space ◽  
Fuzzy Metric

We obtain two triple fixed point theorems for a multimap in a Hausdorff fuzzy metric space.

scholarly journals Some fixed point theorems in fuzzy metric space

2009 ◽  
Vol 40 (1) ◽  
pp. 59-66 ◽  
Author(s):  
Vyomesh Pant
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Fuzzy Metric Space ◽  
Fuzzy Metric ◽  
Noncompatible Maps ◽  
Weak Commutativity

The aim of the present paper is to extend the study of noncompatible maps in fuzzy metric space by using the notion of R-weak commutativity of type (Ag) in fuzzy metric space. Simultaneously, we provide an answer in fuzzy metric space, perhaps maiden, to the problem of Rhoades (page 243, [18]). We also define an analogue to the recently introduced concept of Property (E.A) by Aamri and Moutawakil [1] and then compare the results obtained by using the Property (E.A) to those obtained by using the notion of noncompatibility.

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