scholarly journals Common Fixed Points for Suzuki-Generalized Nonexpansive Maps

2013 ◽  
Vol 2013 ◽  
pp. 1-5
Author(s):  
Maryam A. Alghamdi ◽  
Sompong Dhompongsa ◽  
Naseer Shahzad
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Approximation Theorem ◽  
Satisfying Condition ◽  
Common Fixed Points ◽  
Invariant Approximation ◽  
Nonexpansive Maps ◽  
Condition C ◽  
Common Fixed Point Theorem

A common fixed point theorem for a pair of maps satisfying condition (C) is proved under certain conditions. We extend the well-knownDeMarr's fixed point theorem to the case of noncommuting family of maps satisfying condition (C). As for an application, an invariant approximation theorem is also derived.

scholarly journals Compatible mappings and common fixed points(2)

1988 ◽  
Vol 11 (2) ◽  
pp. 285-288 ◽  
Author(s):  
Gerald Jungck
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Common Fixed Points ◽  
Compatible Mappings ◽  
Common Fixed Point Theorem

A common fixed point theorem of S.L. and S.P. Singh is generalized by weakening commutativity hypotheses and by increasing the number of functions involved.

scholarly journals Some Common Fixed Points of Six Mappings on G_b-metric Spaces Using (E.A) Property

2018 ◽  
Vol 11 (1) ◽  
pp. 90 ◽  
Author(s):  
Zead Mustafa ◽  
M.M.M. Jaradat ◽  
Hassen Aydi ◽  
Ahmad Alrhayyel
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Common Fixed Point Theorem ◽  
Unique Common Fixed Point

The aim of this manuscript is to present a unique common fixed point theorem for six mappings satisfying $(\phi ,\psi )$-contractions using (E.A) property in the framework of $G_{b}$- metric spaces. An illustrative example is also given to justify the established result.

scholarly journals Common fixed points of compatible mappings

1990 ◽  
Vol 13 (1) ◽  
pp. 61-66 ◽  
Author(s):  
S. M. Kang ◽  
Y. J. Cho ◽  
G. Jungck
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Common Fixed Points ◽  
Compatible Mappings ◽  
The Third ◽  
Common Fixed Point Theorem

In this paper, we present a common fixed point theorem for compatible mappings, which extends the results of Ding, Diviccaro-Sessa and the third author.

scholarly journals A General Coincidence and Common Fixed Point Theorem for two Hybrid Pairs of Mappings

2014 ◽  
Vol 47 (4) ◽  
Author(s):  
Popa Valeriu
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Common Fixed Points ◽  
Common Fixed Point Theorem ◽  
Two Hybrid ◽  
Satisfying Property

AbstractIn this paper, a general coincidence and common fixed points theorem for two hybrid pairs of mappings satisfying property (E.A) is proved, generalizing the main results from [3] and [9].

scholarly journals Common Fixed Points for Mappings under Contractive Conditions of (α,β,ψ)-Admissibility Type

Mathematics ◽  
2018 ◽  
Vol 6 (11) ◽  
pp. 261 ◽  
Author(s):  
Wasfi Shatanawi
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Space ◽  
Common Fixed Points ◽  
Common Fixed Point Theorem

In this paper, we introduce the notion of ( α , β , ψ ) -contraction for a pair of mappings ( S , T ) defined on a set X. We use our new notion to create and prove a common fixed point theorem for two mappings defined on a metric space ( X , d ) under a set of conditions. Furthermore, we employ our main result to get another new result. Our results are modifications of many existing results in the literature. An example is included in order to show the authenticity of our main result.

Results on Common Fixed Points by Alerting Distances

2007 ◽  
Vol 7 ◽  
pp. 23
Author(s):  
K. Jha ◽  
R. P. Pant ◽  
K. P. R. Sastry
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Control Function ◽  
Common Fixed Points ◽  
Contractive Condition ◽  
Compatible Mapping ◽  
Common Fixed Point Theorem

The aim of this paper is to establish a common fixed point theorem for two pairs of compatible mapping by altering distances between the points under a ¢-contractive condition. In this paper, we employ a control function that unifies the choice of control function in Sastry and Babu [10] and Sastry et al. [11], and so extend the results of Sastry et. al. [11]. Also, our results improve the results of Pant et. al. [8]. Pant and Jha [9]. <i>Nepal Journal of Science and Technology</i> Vol. 7, 2006

scholarly journals Common fixed points versus best approximations

2001 ◽  
Vol 32 (3) ◽  
pp. 181-186
Author(s):  
Abdul Latif
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Best Approximation ◽  
Common Fixed Points ◽  
Normed Spaces ◽  
Best Approximations ◽  
Nonexpansive Maps ◽  
Common Fixed Point Theorem

We obtain a common fixed point theorem for $ (f,g) $-nonexpansive maps in $ p $-normed spaces. Some results on best approximation are also derived via common fixed points. Our results generalize and extend the work of Al-Thaghafi [J. Approx. Theory 85 (1996), 318-323], Khan and Khan [Approx. Theory & its Appl., 11 (1995), 1-5], Habiniak [J. Approx. Theory, 56 (1989), 241-244], Sahab, Khan and Sessa [J. Approx. Theory, 55 (1988), 349-351], and many of the others.

scholarly journals On coincidence theorems for a family of mappings in convex metric spaces

1987 ◽  
Vol 10 (3) ◽  
pp. 453-460
Author(s):  
Olga Hadzic
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Convex Metric Spaces ◽  
Coincidence Theorems ◽  
Common Fixed Point Theorem

In this paper, a theorem on common fixed points for a family of mappings defined on convex metric spaces is presented. This theorem is a generalization of the well known fixed point theorem proved by Assad and Kirk. As an application a common fixed point theorem in metric spaces with a convex structure is obtained.

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