scholarly journals New generalized pseudodistance and coincidence point theorem in a b-metric space

2013 ◽  
Vol 2013 (1) ◽  
Author(s):  
Robert Plebaniak
Keyword(s):  
Point Theorem ◽  
Metric Space ◽  
Coincidence Point ◽  
Generalized Pseudodistance

scholarly journals Coincidence and Fixed Point of Nonexpansive Type Mappings in 2-Metric Spaces

2019 ◽  
pp. 191-206
Author(s):  
H. A. Hammad ◽  
A. H. Ansari ◽  
R. A. Rashwan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Type Condition

The aim of this paper is to prove a coincidence point theorem for a class of self mappings satisfying nonexpansive type condition under various conditions and a fixed point theorem is also obtained. Our results extend and generalize the corresponding result of Singh and Chandrashekhar [A fixed point theorem in a 2-metric space and an application, J. Natural and Physical Sci. 15(1-2) (2001), 55-64].

scholarly journals Unique Coincidence and Fixed Point Theorem forg-Weakly C-Contractive Mappings in Partial Metric Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Saud M. Alsulami
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Partial Metric Space ◽  
Partial Metric ◽  
Contractive Mappings ◽  
Partial Metric Spaces

We prove that every map satisfying theg-weakly C-contractive inequality in partial metric space has a unique coincidence point. Our results generalize several well-known existing results in the literature.

scholarly journals Semicompatibility and fixed point theorems in an unboundedD-metric space

2005 ◽  
Vol 2005 (5) ◽  
pp. 789-801
Author(s):  
Bijendra Singh ◽  
Shishir Jain ◽  
Shobha Jain
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Contractive Condition ◽  
Restricted Domain

Rhoades (1996) proved a fixed point theorem in a boundedD-metric space for a contractive self-map with applications. Here we establish a more general fixed point theorem in an unboundedD-metric space, for two self-maps satisfying a general contractive condition with a restricted domain ofxandy. This has been done by using the notion of semicompatible maps inD-metric space. These results generalize and improve the results of Rhoades (1996), Dhage et al. (2000), and Veerapandi and Rao (1996). These results also underline the necessity and importance of semicompatibility in fixed point theory ofD-metric spaces. All the results of this paper are new.

scholarly journals A fixed point theorem in a generalized fuzzy metric space

2014 ◽  
Vol 32 (2) ◽  
pp. 221 ◽  
Author(s):  
Binod Chandra Tripathy ◽  
Sudipta Paul ◽  
Nanda Ram Das
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Fuzzy Metric Space ◽  
Fuzzy Mapping ◽  
Fuzzy Metric

We prove a fixed point theorem for uniformly locally contractive fuzzy mapping in a generalized fuzzy metric space.

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.

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