scholarly journals Common Fixed Point Theorems of the Asymptotic Sequences in Ordered Cone Metric Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-14
Author(s):  
Chi-Ming Chen
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Spaces ◽  
Type Mapping ◽  
Regular Cone ◽  
Cone Type ◽  
Common Fixed Point Theorems ◽  
Cone Metric

We introduce the notions of the asymptoticSMK-sequence with respect to the stronger Meir-Keeler cone-type mappingξ:int(P)∪{θ}→[0,1)and the asymptoticWMK-sequence with respect to the weaker Meir-Keeler cone-type mappingϕ:int(P)∪{θ}→int(P)∪{θ}and prove some common fixed point theorems for these two asymptotic sequences in cone metric spaces with regular coneP. Our results generalize some recent results.

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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