scholarly journals Common fixed point theorems in symmetric spaces employing a new implicit function and common property (E.A)

2009 ◽  
Vol 16 (3) ◽  
pp. 421-433 ◽  
Author(s):  
M. Imdad ◽  
Javid Ali
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Symmetric Spaces ◽  
Common Property ◽  
Fixed Point Theorems ◽  
Implicit Function ◽  
Common Fixed Point Theorems

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.

scholarly journals Unifying a multitude of common fixed point theorems in symmetric spaces

Filomat ◽  
2014 ◽  
Vol 28 (6) ◽  
pp. 1113-1132 ◽  
Author(s):  
Mohammad Imdad ◽  
Anupam Sharma ◽  
Sunny Chauhan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Symmetric Spaces ◽  
Fixed Point Theorems ◽  
Implicit Function ◽  
Compatible Mappings ◽  
Integral Type ◽  
Weakly Compatible ◽  
Common Fixed Point Theorems

The aim of this paper is to obtain some new common fixed point theorems for weakly compatible mappings in symmetric spaces satisfying an implicit function. Some illustrative examples to highlight the realized improvements are furnished. Our results generalize and extend some recent results contained in Ali and Imdad [Sarajevo J. Math. 4(17)(2008), 269-285] to symmetric spaces and consequently a host of metrical common fixed theorems are generalized and improved. We state an integral type fixed point theorem in symmetric space. In the process, we also derive a fixed point result on common fixed point in probabilistic symmetric spaces.

scholarly journals Impact of occasionally weakly compatible property on common fixed point theorems for expansive mappings

Filomat ◽  
2011 ◽  
Vol 25 (2) ◽  
pp. 79-89 ◽  
Author(s):  
M. Imdad ◽  
Javid Ali ◽  
V. Popa
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Symmetric Spaces ◽  
Fixed Point Theorems ◽  
Implicit Function ◽  
Weakly Compatible ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

A general common fixed point theorem for two pairs of occasionally weak compatible expansive mappings satisfying a significantly enriched implicit function is proved in symmetric spaces which generalizes several previously known results. Some related results and illustrative examples are also discussed.

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 More general common fixed point theorems under a new concept

2016 ◽  
Vol 49 (1) ◽  
Author(s):  
H. Bouhadjera
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Common Fixed Points ◽  
Implicit Function ◽  
Continuous Mappings ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

AbstractA general common fixed point theorem for two pairs of weakly subsequentially continuous mappings (recently introduced) satisfying a significant estimated implicit function is proved. An extension of this result is thereby obtained. Our results assert the existence and uniqueness of common fixed points in several cases.

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