On Contraction Mappings and Fixed Point Theorems in 2-Normed Spaces

2014 ◽  
Vol 1 (2) ◽  
pp. 231-241 ◽  
Author(s):  
Mehmet KIR ◽  
◽  
Hukmu KIZILTUNC
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Normed Spaces ◽  
Contraction Mappings

scholarly journals Some fixed point theorems in n-normed spaces

2020 ◽  
Vol 25 (3) ◽  
pp. 1-15 ◽  
Author(s):  
Hanan Sabah Lazam ◽  
Salwa Salman Abed
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Normed Space ◽  
Fixed Point Theorems ◽  
Normed Spaces ◽  
Weak Contraction ◽  
Contraction Mappings ◽  
Basic Properties ◽  
Definition Of

In this article, we recall the definition of a real n-normed space and some basic properties. fixed point theorems for types of Kannan, Chatterge, Zamfirescu, -Weak contraction and  - (,)-Weak contraction mappings in  Banach spaces.

scholarly journals A-contraction mappings of integral type in n-normed spaces

2020 ◽  
Vol 31 (4) ◽  
pp. 87
Author(s):  
Salwa Salman Abed ◽  
Hanan Sabah Lazam
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Normed Spaces ◽  
Integral Type ◽  
Contraction Mappings ◽  
Picard Operator ◽  
Contraction Type

In this article, A-contraction type mappings in integral case are defined on a complete n-normed spaces and the existence of some fixed point theorems are proved in the complete n-normed spaces and given some results on Picard operator. 

scholarly journals On Best Proximity Points of Generalized Almost-F-Contraction Mappings

2019 ◽  
Vol 25 (1) ◽  
pp. 16-23
Author(s):  
Mahdi Salamatbakhsh ◽  
Robab Hamlbarani Haghi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Best Proximity Points ◽  
Contraction Mappings

We provide some results about best proximity points of generalized almost-$F$-contraction mappings in metric spaces which generalize and extend recent  fixed point theorems. Also, we give an example to illustrate  our main result.

scholarly journals On Some Fixed Point Results forH+-Type Contraction Mappings in Metric Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
Hemant Kumar Pathak ◽  
Rosana Rodríguez-López
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Contractive Mappings ◽  
Type Contraction

We prove some fixed point theorems forH+-type multivalued contractive mappings in the setting of Banach spaces and metric spaces. The results provided allow recovering different well-known results.

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