Properties of continuous mappings of unbounded metric spaces

1991 ◽  
Vol 43 (3) ◽  
pp. 388-391
Author(s):  
N. A. Davydov
Keyword(s):  
Metric Spaces ◽  
Continuous Mappings

scholarly journals Solution of Fractional Differential Equations Utilizing Symmetric Contraction

2021 ◽  
Vol 2021 ◽  
pp. 1-17
Author(s):  
Aftab Hussain
Keyword(s):  
Differential Equation ◽  
Fixed Point ◽  
Fractional Differential Equations ◽  
Metric Space ◽  
Metric Spaces ◽  
Order Differential Equation ◽  
Fractional Order Differential Equation ◽  
Continuous Mappings ◽  
Fractional Differential ◽  
Fixed Point Technique

The aim of this paper is to present another family of fractional symmetric α - η -contractions and build up some new results for such contraction in the context of ℱ -metric space. The author derives some results for Suzuki-type contractions and orbitally T -complete and orbitally continuous mappings in ℱ -metric spaces. The inspiration of this paper is to observe the solution of fractional-order differential equation with one of the boundary conditions using fixed-point technique in ℱ -metric space.

scholarly journals Common fixed point theorems in complete metric and probabilistic metric spaces

1987 ◽  
Vol 36 (1) ◽  
pp. 73-88 ◽  
Author(s):  
Mila Stojakovic
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Probabilistic Metric Spaces ◽  
Continuous Mappings ◽  
Contraction Condition ◽  
Probabilistic Metric ◽  
Common Fixed Point Theorems

In this paper several common fixed point theorems for four continuous mappings in Menger and metric spaces are proved. These mappings are assumed to satisfy some generalizations of the contraction condition.

Fixed Point Theorems for Faintly Compatible Mappings in Intuitionistic Fuzzy Metric Space

2017 ◽  
Vol 84 (1-2) ◽  
pp. 130 ◽  
Author(s):  
Kamal Wadhwa ◽  
Ved Prakash Bhardwaj
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Compatible Mappings ◽  
Fuzzy Metric ◽  
Intuitionistic Fuzzy ◽  
Continuous Mappings ◽  
Common Fixed Point Theorems

In this paper, we correct the contractive condition of Manro and Kang [16] and prove some common fixed point theorems for four faintly compatible mappings using subsequential continuous mappings in Intuitionistic Fuzzy metric spaces. We also provide an example in support of our main result. Our results improve and generalize the results of Manro and Kang [16].

Common Fixed Points of Continuous Mappings on S-Metric Spaces

2018 ◽  
Vol 104 (3-4) ◽  
pp. 587-600
Author(s):  
N. Taş ◽  
N. Yılmaz Özgür
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Continuous Mappings

scholarly journals Probabilistic convergence spaces and generalized metric spaces

1998 ◽  
Vol 21 (3) ◽  
pp. 439-452 ◽  
Author(s):  
Paul Brock
Keyword(s):  
Metric Spaces ◽  
Convergence Criteria ◽  
Generalized Metric Spaces ◽  
Contraction Mappings ◽  
Convergence Spaces ◽  
Generalized Metric ◽  
Continuous Mappings

The categoryPPRS(Δ), whose objects are probabilistic pretopological spaces which satisfy an axiom(Δ)and whose morphisms are continuous mappings, is introduced. Categories consisting of generalized metric spaces as objects and contraction mappings as morphisms are embedded as full subcategories ofPPRS(Δ). The embeddings yield a description of metric spces and their most natural generalizations entirely in terms of convergence criteria.

scholarly journals Best Proximity Points for Relatively -Continuous Mappings in Banach and Hyperconvex Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Jack Markin ◽  
Naseer Shahzad
Keyword(s):  
Metric Spaces ◽  
Best Proximity Point ◽  
Best Proximity Points ◽  
Continuous Mappings

We prove some best proximity point results for relatively -continuous mappings in Banach and hyperconvex metric spaces. Our results generalize and extend some recent results to relatively -continuous mappings and to general spaces.

Solving a Fractional-Order Differential Equation Using Rational Symmetric Contraction Mappings

2021 ◽  
Vol 5 (4) ◽  
pp. 159
Author(s):  
Hasanen A. Hammad ◽  
Praveen Agarwal ◽  
Shaher Momani ◽  
Fahad Alsharari
Keyword(s):  
Differential Equation ◽  
Fixed Points ◽  
Fractional Order ◽  
Metric Spaces ◽  
Order Differential Equation ◽  
Fractional Order Differential Equation ◽  
Contraction Mappings ◽  
Continuous Mappings ◽  
Theoretical Results

The intent of this manuscript is to present new rational symmetric ϖ−ξ-contractions and infer some fixed-points for such contractions in the setting of Θ-metric spaces. Furthermore, some related results such as Suzuki-type rational symmetric contractions, orbitally Υ-complete, and orbitally continuous mappings in Θ-metric spaces are introduced. Ultimately, the theoretical results are shared to study the existence of the solution to a fractional-order differential equation with one boundary stipulation.

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