scholarly journals Unique Common Fixed Point Result for Rational Contraction in Complex valued Metric Space

2021 ◽  
Vol 09 (11) ◽  
Author(s):  
Bindeshwari Sonant ◽  
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Weakly Compatible ◽  
Urysohn Integral Equations ◽  
Complex Valued Metric Space ◽  
Complex Valued ◽  
Rational Contraction ◽  
Common Fixed Point Theorem ◽  
Unique Common Fixed Point

In this paper, we prove some unique common fixed point theorem for two pairs of weakly compatible mappings, satisfying the rational contraction conditions in complex valued metric space. The proved result, generalize and extend some known results in the literature. Finally, The main result is the application of the Urysohn integral equations to derive the existence theorem for a general solution. AMS(MOS) Subject Classification Codes: 47H10, 54H25.

scholarly journals A common fixed point theorm for six expansive mappings in G-metric spaces

1970 ◽  
Vol 7 (1) ◽  
pp. 113-120
Author(s):  
KPR Rao ◽  
A Sombabu ◽  
J Rajendra Prasad
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Compatible Mappings ◽  
Weakly Compatible ◽  
47 H 10 ◽  
Common Fixed Point Theorem ◽  
Unique Common Fixed Point

In this paper we obtain a unique common fixed point theorem for six expansive mappings in G –metric spaces.   AMS 2000 Subject classification : 47 H 10; 54 H 25.   Key words : Expansive mappings; G –metric space; Weakly compatible mappings DOI: http://dx.doi.org/ 10.3126/kuset.v7i1.5428 KUSET 2011; 7(1): 113-120

COMMON FIXED POINT THEOREM FOR TWO MAPPINGS IN bi-b-METRIC SPACE

2022 ◽  
Vol 11 (1) ◽  
pp. 25-34
Author(s):  
V.D. Borgaonkar ◽  
K.L. Bondar ◽  
S.M. Jogdand
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
The Common ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem ◽  
Unique Common Fixed Point

In this paper we have used the concept of bi-metric space and intoduced the concept of bi-b-metric space. our objective is to obtain the common fixed point theorems for two mappings on two different b-metric spaces induced on same set X. In this paper we prove that on the set X two b-metrics are defined to form two different b-metric spaces and the two mappings defined on X have unique common fixed point.

scholarly journals Coupled coincidence and coupled common fixed point theorem in dislocated quasi metric space

2020 ◽  
Vol 3 (4) ◽  
pp. 11-18
Author(s):  
Mitiku Damene ◽  
◽  
Kidane Koyas ◽  
Solomon Gebregiorgis ◽  
◽  
...  
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Considerable Improvement ◽  
Contractive Condition ◽  
Coupled Common Fixed Point ◽  
Weakly Compatible ◽  
Common Fixed Point Theorem ◽  
Rational Type ◽  
Coupled Coincidence

The objective of this paper is to establish a theorem involving a pair of weakly compatible mappings fulfilling a contractive condition of rational type in the context of dislocated quasi metric space. Besides we proved the existence and uniqueness of coupled coincidence and coupled common fixed point for such mappings. This work offers extension as well as considerable improvement of some results in the existing literature. Lastly, an illustrative example is given to validate our newly proved results.

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