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 Common fixed point of four maps in Sm-metric space

2021 ◽  
Vol 19 (6) ◽  
pp. 915-928
Author(s):  
K. Mallaiah ◽  
V. Srinivas
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Metric Space ◽  
Well Posedness ◽  
Compatible Mappings ◽  
Weakly Compatible ◽  
Continuous Mappings ◽  
Multiplicative Metric Space ◽  
Common Fixed Point Theorem

In this paper, first, we deal with new metric space Sm-metric space that combines multiplicative metric space and S-metric space. We generate a common fixed point theorem in a Sm-metric space using the notions of reciprocally continuous mappings, faintly compatible mappings and occasionally weakly compatible mappings (OWC). We are also studying the well-posedness of Sm metric space. Further, some examples are presented to support our outcome.

scholarly journals COMMUNAL FIXED POINT IN FUZZY 2- METRIC SPACES

2021 ◽  
Vol 7 (7) ◽  
pp. 481-487
Author(s):  
Atianashie Miracle A ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Metric Spaces ◽  
Compatible Mappings ◽  
The Common ◽  
Common Fixed Point Theorem

The objective of this paper is to emphasize the Common Fixed Point in Fuzzy 2- Metric Spaces and prove a common fixed point theorem of compatible mappings of type (R) in fuzzy 2-metric space. We consider four mappings of which one is continuous. The results generalize many results in the literature. Some illustrative examples are furnished which demonstrate the validity of the hypotheses and the degree of utility of our results.

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