scholarly journals Common Fixed Point Theorem for Weakly Compatible Mappings in Metric Space

2017 ◽  
Vol 9 ◽  
pp. 29-34
Author(s):  
V.Naga Raju ◽  
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Weakly Compatible Mappings ◽  
Compatible Mappings ◽  
Weakly Compatible ◽  
Common Fixed Point Theorem

scholarly journals A common fixed point theorem of Meir and Keeler type

1993 ◽  
Vol 16 (4) ◽  
pp. 669-674 ◽  
Author(s):  
Y. J. Cho ◽  
P. P. Murthy ◽  
G. Jungck
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Compatible Mappings ◽  
Common Fixed Point Theorem

In this paper, we introduce the concept of compatible mappings of type (A) on a metric space, which is equivalent to the concept of compatible mappings under some conditions, and give a common fixed point theorem of Meir and Keeler type. Our result extends, generalized and improves some results of Meir-Keeler, Park-Bae, Park-Rhoades, Pant and Rao-Rao, etc.

Common Fixed Point Theorems Using Compatible Mappings of Type (R) in Semi-metric Space

2020 ◽  
Vol 5 (5) ◽  
pp. 40-44
Author(s):  
Umesh Rajopadhyaya ◽  
K. Jha
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Compatible Mappings ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem

In this paper, we establish a common fixed point theorem for three pairs of self mappings in semi-metric space using compatible mappings of type (R) which improves and extends similar known results in the literature.

A Common Fixed Point Theorem Connected to a Result of V. Popa and H. K. Pathak

2006 ◽  
Vol 13 (1) ◽  
pp. 1-6 ◽  
Author(s):  
Mohamed Akkouchi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Complete Metric Space ◽  
Weakly Compatible ◽  
Common Fixed Point Theorem

Abstract In this paper, we prove a common fixed point theorem for two pairs of weakly compatible self-mappings of a complete metric space without requiring continuity. Our result generalizes a theorem obtained by V. Popa and H. K. Pathak in 1998 and a result obtained by B. Fisher and S. Sessa in 1986.

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

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