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 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 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 Common fixed point theorem on Proinov type mappings via simulation function

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Badr Alqahtani ◽  
Sara Salem Alzaid ◽  
Andreea Fulga ◽  
Seher Sultan Yeşilkaya
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Simulation Function ◽  
Type Mapping ◽  
The Common ◽  
Common Fixed Point Theorem

AbstractIn this paper, we aim to discuss the common fixed point of Proinov type mapping via simulation function. The presented results not only generalize, but also unify the corresponding results in this direction. We also consider an example to indicate the validity of the obtained results.

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).

Study of Fixed Point Theorem for Common Limit Range Property and Application to Functional Equations

2014 ◽  
Vol 52 (1) ◽  
Author(s):  
Hemant Kumar Nashine
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Functional Equations ◽  
Uniqueness Of Solutions ◽  
System Of Functional Equations ◽  
Altering Distance ◽  
Common Limit ◽  
Common Limit Range Property

AbstractThe aim of our paper is to use common limit range property for two pairs of mappings deriving common fixed point results under a generalized altering distance function. Some examples are given to exhibit different type of situation which shows the requirements of conditions of our results. At the end the existence and uniqueness of solutions for certain system of functional equations arising in dynamic programming with the help of a common fixed point theorem is presented.

scholarly journals Altering distances and a common fixed point theorem in Menger probabilistic metric spaces

Filomat ◽  
2017 ◽  
Vol 31 (2) ◽  
pp. 175-181
Author(s):  
Sinisa Jesic ◽  
Natasa Cirovic ◽  
Donal O’Regan
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Spaces ◽  
Probabilistic Metric Spaces ◽  
Menger Spaces ◽  
Contractive Type ◽  
Probabilistic Metric ◽  
Common Fixed Point Theorem

This paper presents a common fixed point theorem for two compatible self-mappings satisfying nonlinear contractive type condition defined using a ?-function. This result extends previous results due to B. S. Choudhury, K. Das, A new contraction principle in Menger spaces, Acta Mathematica Sinica 24 (2008) 1379-1386, and the result due to D. Mihe?, Altering distances in probabilistic Menger spaces, Nonlinear Analysis 71 (2009) 2734-2738.

A common fixed point theorem for non-self mappings in strictly convex menger PM-spaces

2020 ◽  
Vol 70 (6) ◽  
pp. 1367-1380
Author(s):  
Rale M. Nikolić ◽  
Vladimir T. Ristić ◽  
Nataša A. Ćirović
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Existence And Uniqueness ◽  
Contractive Condition ◽  
Strictly Convex ◽  
Common Fixed Point Theorem ◽  
Commuting Mappings

AbstractIn this paper we prove existence and uniqueness of a common fixed point for non-self coincidentally commuting mappings with nonlinear, generalized contractive condition defined on strictly convex Menger PM-spaces proved.

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