A COMMON FIXED POINT THEOREM FOR WEAKLY COMPATIBLE MAPPING IN PARTIAL SYMMETRIC SPACES SATISFYING A CONTRACTIVE CONDITION OF INTEGRAL TYPE

2019 ◽  
Vol 121 (1) ◽  
pp. 71-80
Author(s):  
P. K. Eswari ◽  
P. Thirunavukarasu ◽  
K. Raja
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Symmetric Spaces ◽  
Contractive Condition ◽  
Integral Type ◽  
Weakly Compatible ◽  
Compatible Mapping ◽  
Common Fixed Point Theorem

scholarly journals A common fixed point result by altering distances involving a contractive condition of integral type in partial metric spaces

2013 ◽  
Vol 46 (2) ◽  
Author(s):  
Hassen Aydi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Partial Metric ◽  
Integral Type ◽  
Partial Metric Spaces ◽  
Common Fixed Point Theorem

AbstractIn this paper, we present a common fixed point theorem by altering distances for a contractive condition of integral type in partial metric spaces.

scholarly journals Common Fixed Point Theorem of Two Mappings Satisfying a Generalized Weak Contractive Condition

2009 ◽  
Vol 2009 ◽  
pp. 1-9 ◽  
Author(s):  
M. Abbas ◽  
M. Ali Khan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Contractive Condition ◽  
Integral Type ◽  
Fixed Point Result ◽  
Common Fixed Point Theorem

Existence of common fixed point for two mappings which satisfy a generalized weak contractive condition is established. As a consequence, a common fixed point result for mappings satisfying a contractive condition of integral type is obtained. Our results generalize, extend, and unify several well-known comparable results in literature.

Results on Common Fixed Points by Alerting Distances

2007 ◽  
Vol 7 ◽  
pp. 23
Author(s):  
K. Jha ◽  
R. P. Pant ◽  
K. P. R. Sastry
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Control Function ◽  
Common Fixed Points ◽  
Contractive Condition ◽  
Compatible Mapping ◽  
Common Fixed Point Theorem

The aim of this paper is to establish a common fixed point theorem for two pairs of compatible mapping by altering distances between the points under a ¢-contractive condition. In this paper, we employ a control function that unifies the choice of control function in Sastry and Babu [10] and Sastry et al. [11], and so extend the results of Sastry et. al. [11]. Also, our results improve the results of Pant et. al. [8]. Pant and Jha [9]. <i>Nepal Journal of Science and Technology</i> Vol. 7, 2006

scholarly journals A Fixed Point Theorem for Three Pairs of Mappings Satisfying Contractive Condition of Integral Type in Dislocated Metric Space

2014 ◽  
Vol 2014 ◽  
pp. 1-5 ◽  
Author(s):  
Mujeeb Ur Rahman ◽  
Muhammad Sarwar
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Contractive Condition ◽  
Integral Type ◽  
Dislocated Metric Space ◽  
Dislocated Metric ◽  
Common Fixed Point Theorem

The aim of this paper is to study a common fixed point theorem for three pairs of self-mappings satisfying a contractive condition of integral type in the setting of dislocated metric space. We notice that our established theorem generalizes the main result of Branciari (2002) in the context of dislocated metric space.

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 theorem for four mappings satisfying generalized weak contractive condition

Filomat ◽  
2010 ◽  
Vol 24 (2) ◽  
pp. 1-10 ◽  
Author(s):  
Mujahid Abbas ◽  
Dragan Djoric
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Fixed Point Theory ◽  
Applied Mathematics ◽  
Point Theory ◽  
Contractive Condition ◽  
Mathematics Subject Classifications ◽  
Common Fixed Point Theorem

Contractive conditions introduced in (Q. Zhang and Y. Song, Fixed point theory for generalized ?-weak contraction, Appl. Math. Lett. 22(2009), 75-78) and (D. Djoric, Common fixed point for generalized (?, ?)-weak contractions, Applied Mathematics Letters, 22(2009), 1896-1900) are employed to obtain a new common fixed point theorem for four maps. Our result substantially generalizes comparable results in the literature. 2010 Mathematics Subject Classifications. 47H10. .

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