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 Common fixed point theorem of six self-mappings in Menger spaces using (CLRST) property

2018 ◽  
Vol 16 (1) ◽  
pp. 1423-1434 ◽  
Author(s):  
Xiao-lan Liu ◽  
Mi Zhou ◽  
Lakshmi Narayan Mishra ◽  
Vishnu Narayan Mishra ◽  
Boško Damjanović
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Existence And Uniqueness ◽  
Menger Spaces ◽  
Common Limit ◽  
The Common ◽  
Common Limit Range Property ◽  
Common Fixed Point Theorem

AbstractIn this paper, we study the existence and uniqueness of common fixed point of six self-mappings in Menger spaces by using the common limit range property (denoted by (CLRST)) of two pairs. Our results improve, extend, complement and generalize several existing results in the literature. Also, some examples are provided to illustrate the usability of our results.

scholarly journals A Hybrid Common Fixed Point Theorem under Certain Recent Properties

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Zoran Kadelburg ◽  
Sunny Chauhan ◽  
Mohammad Imdad
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Common Limit ◽  
Hybrid Pair ◽  
Common Limit Range Property ◽  
Common Fixed Point Theorem

We prove a common fixed point theorem for a hybrid pair of occasionally coincidentally idempotent mappings via common limit range property. Our result improves some results from the existing literature, especially the ones contained in Sintunavarat and Kumam (2009). Some illustrative and interesting examples to highlight the realized improvements are also furnished.

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.

scholarly journals Common Fixed Point Theorems in Fuzzy Metric Spaces Satisfying -Contractive Condition with Common Limit Range Property

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
Sunny Chauhan ◽  
M. Alamgir Khan ◽  
Wutiphol Sintunavarat
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Fuzzy Metric ◽  
Common Limit ◽  
Common Fixed Point Theorems ◽  
Common Limit Range Property

The objective of this paper is to emphasize the role of “common limit range property” to ascertain the existence of common fixed point in fuzzy metric spaces. Some illustrative examples are furnished which demonstrate the validity of the hypotheses and degree of utility of our results. We derive a fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any finite number of mappings. As an application to our main result, we prove an integral-type fixed point theorem in fuzzy metric space. Our results improve and extend a host of previously known results including the ones contained in Imdad et al. (2012).

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