scholarly journals A fixed point of generalized T F -contraction mappings in cone metric spaces

2011 ◽  
Vol 2011 (1) ◽  
Author(s):  
Farshid Khojasteh ◽  
Abdolrahman Razani ◽  
Sirous Moradi
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Cone Metric Spaces ◽  
Contraction Mappings ◽  
Cone Metric

Fixed point theorems for (p, q)-quasi-contraction mappings in cone metric spaces

2016 ◽  
Vol 37 (2) ◽  
pp. 211-220 ◽  
Author(s):  
Wajdi Chaker ◽  
Abdelaziz Ghribi ◽  
Aref Jeribi ◽  
Bilel Krichen
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Spaces ◽  
Contraction Mappings ◽  
Cone Metric

scholarly journals Some Fixed Point Results of Weak-Fuzzy Graphical Contraction Mappings with Application to Integral Equations

Mathematics ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 541
Author(s):  
Shamoona Jabeen ◽  
Zhiming Zheng ◽  
Mutti-Ur Rehman ◽  
Wei Wei ◽  
Jehad Alzabut
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Continuity Condition ◽  
Graph Structure ◽  
Cone Metric Spaces ◽  
Contraction Mappings ◽  
Cone Metric

The present paper aims to introduce the concept of weak-fuzzy contraction mappings in the graph structure within the context of fuzzy cone metric spaces. We prove some fixed point results endowed with a graph using weak-fuzzy contractions. By relaxing the continuity condition of mappings involved, our results enrich and generalize some well-known results in fixed point theory. With the help of new lemmas, our proofs are straight forward. We furnish the validity of our findings with appropriate examples. This approach is completely new and will be beneficial for the future aspects of the related study. We provide an application of integral equations to illustrate the usability of our theory.

scholarly journals Coupled fixed point analysis in fuzzy cone metric spaces with an application to nonlinear integral equations

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Gui-Xiu Chen ◽  
Shamoona Jabeen ◽  
Saif Ur Rehman ◽  
Ahmed Mostafa Khalil ◽  
Fatima Abbas ◽  
...  
Keyword(s):  
Fixed Point ◽  
Integral Equations ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Nonlinear Integral Equations ◽  
Cone Metric Spaces ◽  
Contraction Mappings ◽  
Point Analysis ◽  
Cone Metric

AbstractIn this paper, we introduce the concept of coupled type and cyclic coupled type fuzzy cone contraction mappings in fuzzy cone metric spaces. We establish some coupled fixed point results without the mixed monotone property, and also present some coupled fixed results using the partial order metric in the said space. We present some strong coupled fixed point theorems using cyclic coupled type fuzzy cone contraction mappings in fuzzy cone metric spaces. Moreover, we present an application of nonlinear integral equations for the existence of a unique solution to support our work.

scholarly journals Fixed point theorems for convex contraction mappings on cone metric spaces

2011 ◽  
Vol 54 (9-10) ◽  
pp. 2020-2026 ◽  
Author(s):  
Mohammad A. Alghamdi ◽  
Shahrazad H. Alnafei ◽  
Stojan Radenović ◽  
Naseer Shahzad
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Spaces ◽  
Contraction Mappings ◽  
Cone Metric

scholarly journals Coupled Fixed Point Theorems for Some Type of Contraction Mappings in b -Cone and b -Theta Cone Metric Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Sahar Mohamed Ali Abou Bakr
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Cone Metric Spaces ◽  
Contraction Mappings ◽  
Cone Metric

This paper proves the existence of a unique coupled fixed point of some type of contraction mappings defined on a complete b -cone and b -theta cone metric spaces; consequently, it extends and generalizes many previous coupled fixed point theorems.

scholarly journals Some set-valued and multi-valued contraction results in fuzzy cone metric spaces

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Saif Ur Rehman ◽  
Hassen Aydi ◽  
Gui-Xiu Chen ◽  
Shamoona Jabeen ◽  
Sami Ullah Khan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Hausdorff Metric ◽  
Cone Metric Spaces ◽  
Contraction Mappings ◽  
Cone Metric ◽  
Rational Type

AbstractThis paper aims to present the concept of multi-valued mappings in fuzzy cone metric spaces and prove some basic lemmas, a Hausdorff metric, and fixed point results for set-valued fuzzy cone-contraction and for multi-valued fuzzy cone-contraction mappings. We prove a fixed point theorem for multi-valued rational type fuzzy cone-contractions in fuzzy cone metric spaces. Our results extend and improve some results given in the literature.

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