scholarly journals UNIQUE POINT OF COINCIDENCE FOR TWO MAPPINGS WITH 𝜑- OR 𝜓-𝜙-CONTRACTIVE CONDITIONS ON 2-METRIC SPACES

2016 ◽  
Vol 29 (3) ◽  
pp. 417-428
Author(s):  
Ming-Xing Xu ◽  
Xin Huang ◽  
Yong-Jie Piao
Keyword(s):  
Metric Spaces ◽  
Unique Point ◽  
Point Of Coincidence

scholarly journals On Some Generalizations of Commuting Mappings

2012 ◽  
Vol 2012 ◽  
pp. 1-6 ◽  
Author(s):  
Mohammad Ali Alghamdi ◽  
Stojan Radenović ◽  
Naseer Shahzad
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Weakly Compatible Mappings ◽  
Compatible Mappings ◽  
Unique Point ◽  
Weakly Compatible ◽  
Point Of Coincidence ◽  
The Given ◽  
Commuting Mappings ◽  
Unique Common Fixed Point

It is shown that occasionallyJHoperators as well as occasionally weakly biased mappings reduce to weakly compatible mappings in the presence of a unique point of coincidence (and a unique common fixed point) of the given maps.

scholarly journals Simulations functions and Geraghty type results

2021 ◽  
Vol 39 (1) ◽  
pp. 35-50
Author(s):  
Sumit Chandok ◽  
Ankush Chanda ◽  
Lakshmi Kanta Dey ◽  
Mirjana Pavlovic ◽  
Stojan Radenovic
Keyword(s):  
Open Problem ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Sufficient Conditions ◽  
Contraction Mappings ◽  
Point Of Coincidence ◽  
Interesting Open Problem ◽  
Simulation Functions ◽  
Type Contraction

We concern this manuscript with Geraghty type contraction mappings via simulation functions and pull down some sufficient conditions for the existence and uniqueness of point of coincidence for several classes of mappings involving Geraghty functions in the setting of metric spaces. These findings touch up many of the existing results in the literature. Additionally, we elicit one of our main result by a non-trivial example and pose an interesting open problem for the enthusiastic readers.

scholarly journals Some common fixed point theorems in vector metric spaces

Filomat ◽  
2011 ◽  
Vol 25 (1) ◽  
pp. 105-113 ◽  
Author(s):  
Ishak Altun ◽  
Cüneyt Çevik
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Point Of Coincidence ◽  
Common Fixed Point Theorems

In this paper we give some theorems on point of coincidence and common fixed points for two self mappings satisfying some general contractive conditions in vector metric spaces. Our results generalize some well-known recent results.

scholarly journals The Point of Coincidence and Common Fixed Point for Three Mappings in Cone Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Anil Kumar ◽  
Savita Rathee ◽  
Navin Kumar
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Normal Cone ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Cone Metric Spaces ◽  
Point Of Coincidence ◽  
Cone Metric

The aim of this paper is to present the point of coincidence and common fixed point for three mappings in cone metric spaces over normal cone which satisfy a different contractive condition. Our result generalizes the recent related results proved by Stojan Radenović (2009) and Rangamma and Prudhvi (2012).

scholarly journals Simulation type functions and coincidence points

Filomat ◽  
2018 ◽  
Vol 32 (1) ◽  
pp. 141-147 ◽  
Author(s):  
Stojan Radenovic ◽  
Sumit Chandok
Keyword(s):  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Sufficient Conditions ◽  
Coincidence Points ◽  
Point Of Coincidence ◽  
Simulation Functions ◽  
Proper Generalization ◽  
Appl Math ◽  
American Math

In this paper, we obtain some sufficient conditions for the existence and uniqueness of point of coincidence by using simulation functions in the context of metric spaces and prove some interesting results. Our results generalize the corresponding results of [5, 8, 13, 14, 16] in several directions. Also, we provide an example which shows that our main result is a proper generalization of the result of Jungck [American Math. Monthly 83(1976) 261-263], L-de-Hierro et al. [J. Comput. Appl. Math 275(2015) 345-355] and of Olgun et al. [Turk. J. Math. (2016) 40:832-837].

scholarly journals A Note on Various Classes of Compatible-Type Pairs of Mappings and Common Fixed Point Theorems

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Zoran Kadelburg ◽  
Stojan Radenović ◽  
Naseer Shahzad
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Unique Point ◽  
Point Of Coincidence ◽  
The Given ◽  
Common Fixed Point Theorems

Several authors have introduced various conditions which can be used in order to prove common fixed point results. However, it became clear recently that some of these conditions, though formally distinct from each other, actually coincide in the case when the given mappings have a unique point of coincidence. Hence, in fact, new common fixed point results cannot be obtained in this way. We make a review of such connections and results in this paper.

Crystallography in two-dimensional metric spaces*

1969 ◽  
Vol 130 (1-6) ◽  
pp. 277-303 ◽  
Author(s):  
Aloysio Janner ◽  
Edgar Ascher
Keyword(s):  
Metric Spaces ◽  
Two Dimensional
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