scholarly journals Some Theorems on Integral and Rational Type Contractive Conditions in Dislocated Metric Space

2021 ◽  
Vol 2 (2) ◽  
pp. 57-66
Author(s):  
Dinesh Panthi
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Coincidence Points ◽  
Dislocated Metric Space ◽  
Common Limit ◽  
Dislocated Metric ◽  
Rational Type

In this article, we establish some coincidence points and common fixed point results on integral and rational type contractive conditions using E.A. and common limit range (CLR) properties in dislocated metric space.

scholarly journals Common Fixed Point Theorems for Nonlinear Contractive Mappings in Dislocated Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-5 ◽  
Author(s):  
Yijie Ren ◽  
Junlei Li ◽  
Yanrong Yu
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contraction Mapping Theorem ◽  
Contractive Mappings ◽  
Dislocated Metric Space ◽  
Common Fixed Point Theorems ◽  
Dislocated Metric

In 1986, Matthews generalized Banach contraction mapping theorem in dislocated metric space that is a wider space than metric space. In this paper, we established common fixed point theorems for a class of contractive mappings. Our results extend the corresponding ones of other authors in dislocated metric spaces.

scholarly journals A Meir-Keeler Type Common Fixed Point Result in Dislocated Metric Space

2018 ◽  
Vol 1 (2) ◽  
pp. 53-59
Author(s):  
Dinesh Panthi
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Banach Contraction Principle ◽  
Fixed Point Result ◽  
Dislocated Metric Space ◽  
Banach Contraction ◽  
Strict Contraction ◽  
Dislocated Metric ◽  
The Banach Contraction Principle

Meir and E. Keeler [11] generalized the Banach Contraction Principle [1] with the notion of weakly uniformly strict contraction which is famous as a (ε - δ) contraction. In this article, we establish a Meir- Keeler type common fixed point result in dislocated metric space which generalize and extend similar fixed point results in the literature.

scholarly journals Common Fixed Point Theorems for Mappings of Compatible Type(A) in Dislocated Metric Space

2016 ◽  
Vol 16 (1) ◽  
pp. 79-86 ◽  
Author(s):  
Dinesh Panthi ◽  
P. Sumati Kumari
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Science And Technology ◽  
Type A ◽  
Fixed Point Result ◽  
Dislocated Metric Space ◽  
Common Fixed Point Theorems ◽  
Dislocated Metric

In this article we establish a common fixed point result for two pairs of mappings of compatible type(A) in dislocated metric space which generalizes and extends the similar results in the literature.Nepal Journal of Science and Technology Vol. 16, No.1 (2015) pp. 79-86

scholarly journals A common fixed point of weakly compatible mappings in dislocated metric space

2013 ◽  
Vol 8 (2) ◽  
pp. 25-30 ◽  
Author(s):  
D Panthi ◽  
K Jha
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Compatible Maps ◽  
Weakly Compatible Maps ◽  
Weakly Compatible ◽  
Dislocated Metric Space ◽  
Engineering And Technology ◽  
Dislocated Metric ◽  
Common Fixed Point Theorem

The purpose of this paper is to establish a common fixed point theorem for pairs of weakly compatible maps in dislocated metric space which generalizes and improves similar fixed point results. Kathmandu University Journal of Science, Engineering and Technology Vol. 8, No. II, December, 2012, 25-30 DOI: http://dx.doi.org/10.3126/kuset.v8i2.7321

scholarly journals AN INTEGRAL TYPE COMMON FIXED POINT THEOREM IN DISLOCATED METRIC SPACE

2016 ◽  
Vol 12 (2) ◽  
pp. 60-70
Author(s):  
Dinesh Panthi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Weakly Compatible ◽  
Dislocated Metric Space ◽  
Common Limit ◽  
Common Limit Range Property ◽  
Dislocated Metric ◽  
Common Fixed Point Theorem

 In this article, we establish a common fixed point theorem for two pairs of weakly compatible mappings with common limit range property in dislocated metric space.Mathematics Subject Classification: 47H10, 54H25Kathmandu UniversityJournal of Science, Engineering and TechnologyVol. 12, No. 2, 2016, page: 60-70 

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.

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