Unified common fixed point theorems for expansive mappings via common limit range property in cone metric spaces

2015 ◽  
Vol 6 (3) ◽  
pp. 107
Author(s):  
Deepak Singh ◽  
Naval Singh ◽  
Om Prakash Chauhan ◽  
Vishal Joshi
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Spaces ◽  
Common Limit ◽  
Common Fixed Point Theorems ◽  
Common Limit Range Property ◽  
Cone Metric

scholarly journals Common Fixed Point Theorems in Fuzzy Metric Spaces Satisfying -Contractive Condition with Common Limit Range Property

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
Sunny Chauhan ◽  
M. Alamgir Khan ◽  
Wutiphol Sintunavarat
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fuzzy Metric ◽  
Common Limit ◽  
Common Fixed Point Theorems ◽  
Common Limit Range Property

The objective of this paper is to emphasize the role of “common limit range property” to ascertain the existence of common fixed point in fuzzy metric spaces. Some illustrative examples are furnished which demonstrate the validity of the hypotheses and degree of utility of our results. We derive a fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any finite number of mappings. As an application to our main result, we prove an integral-type fixed point theorem in fuzzy metric space. Our results improve and extend a host of previously known results including the ones contained in Imdad et al. (2012).

scholarly journals Common Fixed Point Theorems in Intuitionistic Generalized Fuzzy Cone Metric Spaces

Mathematics ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 1212
Author(s):  
Mathuraiveeran Jeyaraman ◽  
Mookiah Suganthi ◽  
Wasfi Shatanawi
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Space ◽  
Contractive Condition ◽  
Cone Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Cone Metric

In the present work, we study many fixed point results in intuitionistic generalized fuzzy cone metric space. Precisely, we prove new common fixed point theorems for three self mappings that do not require any commutativity or continuity but a generalized contractive condition. Our results are generalizations for many results in the literature. Some examples are given to support these results.

scholarly journals Common Fixed Point Theorems for a Pair of Self-Mappings in Fuzzy Cone Metric Spaces

2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
Saif Ur Rehman ◽  
Yongjin Li ◽  
Shamoona Jabeen ◽  
Tayyab Mahmood
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Cone Metric

In this paper, we present some common fixed point theorems for a pair of self-mappings in fuzzy cone metric spaces under the generalized fuzzy cone contraction conditions. We extend and improve some recent results given in the literature.

scholarly journals Common Fixed Point Theorems of Contractions in Partial Cone Metric Spaces over Nonnormal Cones

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Zhilong Li ◽  
Shujun Jiang
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Spaces ◽  
Partial Cone ◽  
Common Fixed Point Theorems ◽  
Cone Metric

We prove some common fixed point theorems of contractions restricted with variable positive linear bounded mappings inθ-complete partial cone metric spaces over nonnormal cones and present some examples to support the usability of our results.

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