On common fixed point theorems in symmetric spaces with some weaker conditions

2010 ◽  
Author(s):  
Bhavana Deshpande
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Symmetric Spaces ◽  
Fixed Point Theorems ◽  
Weaker Conditions ◽  
Common Fixed Point Theorems

scholarly journals Common fixed point theorems under contractive conditions of integral type in symmetric spaces

2013 ◽  
Vol 46 (4) ◽  
Author(s):  
F. Merghadi ◽  
C. Godet-Thobie
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Symmetric Spaces ◽  
Fixed Point Theorems ◽  
Integral Type ◽  
Weak Compatibility ◽  
Common Fixed Point Theorems

AbstractThe purpose of this paper is to prove common fixed point theorems for a family of mappings in symmetric spaces using the property (E.A) and weak compatibility or occasionally weak compatibility. Our results extend some recent results.

scholarly journals Common fixed point theorems for occasionally weakly compatible mappings via implicit relations

Filomat ◽  
2008 ◽  
Vol 22 (2) ◽  
pp. 99-107 ◽  
Author(s):  
Abdelkrim Aliouche ◽  
Valeriu Popa
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Symmetric Spaces ◽  
Fixed Point Theorems ◽  
Weakly Compatible Mappings ◽  
Compatible Mappings ◽  
Weakly Compatible ◽  
Common Fixed Point Theorems

We prove common fixed point theorems for four mappings satisfying implicit relations in symmetric spaces using the concept of occasionally weakly compatible mappings. Our Theorems generalize results of [1], [3], [4] and [7]. .

scholarly journals Some Nonunique Common Fixed Point Theorems in Symmetric Spaces through Property

2013 ◽  
Vol 2013 ◽  
pp. 1-8 ◽  
Author(s):  
E. Karapınar ◽  
D. K. Patel ◽  
M. Imdad ◽  
D. Gopal
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Symmetric Spaces ◽  
Fixed Point Theorems ◽  
Fixed Point Theory ◽  
Point Theory ◽  
New Class ◽  
The Common ◽  
Common Fixed Point Theorems ◽  
Common Limit Range Property

We introduce a new class of mappings satisfying the “common limit range property” in symmetric spaces and utilize the same to establish common fixed point theorems for such mappings in symmetric spaces. Our results generalize and improve some recent results contained in the literature of metric fixed point theory. Some illustrative examples to highlight the realized improvements are also furnished.

scholarly journals Common fixed point theorems for mappings satisfying common property (E.A.)in symmetric spaces

Filomat ◽  
2011 ◽  
Vol 25 (2) ◽  
pp. 59-78 ◽  
Author(s):  
Dhananjay Gopal ◽  
Mohammad Imdad ◽  
Calogero Vetro
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Symmetric Spaces ◽  
Common Property ◽  
Fixed Point Theorems ◽  
Contractive Condition ◽  
Common Fixed Point Theorems

In this paper, common fixed point theorems for mappings satisfying a generalized contractive condition are obtained in symmetric spaces by using the notion of common property (E.A.). In the process, a host of previously known results are improved and generalized. We also derive results on common fixed point in probabilistic symmetric spaces.

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