scholarly journals On a nonlinear fractional differential equation on partially ordered metric spaces

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Dumitru Baleanu ◽  
Hakimeh Mohammadi ◽  
Shahram Rezapour
Keyword(s):  
Differential Equation ◽  
Fractional Differential Equation ◽  
Metric Spaces ◽  
Nonlinear Fractional Differential Equation ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Fractional Differential

scholarly journals New Fixed Point Theorems in Orthogonal F -Metric Spaces with Application to Fractional Differential Equation

Symmetry ◽  
2020 ◽  
Vol 12 (5) ◽  
pp. 832
Author(s):  
Tanzeela Kanwal ◽  
Azhar Hussain ◽  
Hamid Baghani ◽  
Manuel de la Sen
Keyword(s):  
Differential Equation ◽  
Fixed Point ◽  
Periodic Point ◽  
Fractional Differential Equation ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Nonlinear Fractional Differential Equation ◽  
Uniqueness Of The Solution ◽  
Fractional Differential

We present the notion of orthogonal F -metric spaces and prove some fixed and periodic point theorems for orthogonal ⊥ Ω -contraction. We give a nontrivial example to prove the validity of our result. Finally, as application, we prove the existence and uniqueness of the solution of a nonlinear fractional differential equation.

scholarly journals Theorems for Boyd-Wong-Type Contractions in Ordered Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Hassen Aydi ◽  
Wasfi Shatanawi ◽  
Mihai Postolache ◽  
Zead Mustafa ◽  
Nedal Tahat
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered

We give some fixed point results using an ICS mapping and involving Boyd-Wong-type contractions in partially ordered metric spaces. Our results generalize, extend, and unify several well-known comparable theorems in the literature. Also, we present some examples to support our results.

Coupled coincidence point results for (φ,ψ)-contractive mappings in partially ordered metric spaces

2014 ◽  
Vol 21 (2) ◽  
Author(s):  
Jamshaid Ahmad ◽  
Muhammad Arshad ◽  
Pasquale Vetro
Keyword(s):  
Metric Spaces ◽  
Coincidence Point ◽  
Coupled Coincidence Point ◽  
Ordered Metric Spaces ◽  
Partially Ordered Metric Spaces ◽  
Partially Ordered ◽  
Contractive Mappings ◽  
Coupled Coincidence

Abstract.In this paper, we extend the coupled coincidence point theorems for a mixed

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