scholarly journals ABSORBING PAIRS FACILITATING COMMON FIXED POINT THEOREMS FOR LIPSCHITZIAN TYPE MAPPINGS IN SYMMETRIC SPACES

2012 ◽  
Vol 27 (2) ◽  
pp. 385-397 ◽  
Author(s):  
Dhananjay Gopal ◽  
Mohammad Hasan ◽  
Mohammad Imdad
2013 ◽  
Vol 46 (4) ◽  
Author(s):  
F. Merghadi ◽  
C. Godet-Thobie

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.


Filomat ◽  
2008 ◽  
Vol 22 (2) ◽  
pp. 99-107 ◽  
Author(s):  
Abdelkrim Aliouche ◽  
Valeriu Popa

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]. .


Author(s):  
E. Karapınar ◽  
D. K. Patel ◽  
M. Imdad ◽  
D. Gopal

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.


Filomat ◽  
2011 ◽  
Vol 25 (2) ◽  
pp. 59-78 ◽  
Author(s):  
Dhananjay Gopal ◽  
Mohammad Imdad ◽  
Calogero Vetro

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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