scholarly journals Compatible mappings and common fixed points “revisited”

1994 ◽  
Vol 17 (1) ◽  
pp. 37-40 ◽  
Author(s):  
Gerald Jungck
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Point Theorem ◽  
Common Fixed Points ◽  
Contraction Principle ◽  
Compatible Mappings ◽  
Type Contraction

A fixed point theorem involving a Meir-Keeler type contraction principle is refined by diminishing continuity requirements.

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 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.

On common fixed points of a sequence of mappings

2016 ◽  
Vol 09 (03) ◽  
pp. 1650060
Author(s):  
Ravindra K. Bisht
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Common Fixed Points ◽  
Type Condition ◽  
Present Theorem

The aim of this paper is to obtain a fixed point theorem for a sequence of mappings satisfying a Lipschitz type condition. As compared to the analogous results, some mappings of the present theorem need not satisfy any noncommutativity conditions and therefore our results generalize a number of well-known fixed point theorems in the existing literature.

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.

A Fixed Point Theorem for Semigroups of Proximately Uniformly Lipschitzian Mappings

1991 ◽  
Vol 34 (4) ◽  
pp. 559-562
Author(s):  
Hong-Kun Xu
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Existence Theorem ◽  
Point Theorem ◽  
Common Fixed Points ◽  
Nonexpansive Semigroups ◽  
Lipschitzian Mappings ◽  
Lipschitzian Semigroup

AbstractAs a generalization of Kiang and Tan's proximately nonexpansive semigroups, the notion of a proximately uniformly Lipschitzian semigroup is introduced and an existence theorem of common fixed points for such a semigroup is proved in a Banach space whose characteristic of convexity is less than one.

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 A Common Coincidence of Fixed Point for Generalized Caristi Fixed Point Theorem

2021 ◽  
Vol 2 (1) ◽  
pp. 40-46
Author(s):  
Jayashree Patil ◽  
Basel Hardan ◽  
Amol Bachhav
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Point Theorem ◽  
Metric Space ◽  
Complete Metric Space ◽  
Common Fixed Points ◽  
Weakly Compatible

In this paper, the interpolative Caristi type weakly compatible contractive in a complete metric space is applied to show some common fixed points results related to such mappings. Our application shows that the function which is used to prove the obtained results is a bounded map. An example is provided to show the useability of the acquired results.

scholarly journals Some results on common fixed points for weakly compatible mappings satisfying Altman integral type Contraction

2009 ◽  
Vol 42 (1) ◽  
Author(s):  
H. K. Pathak ◽  
Rosana Rodríguez-López
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Metric Space ◽  
Common Fixed Points ◽  
Weakly Compatible Mappings ◽  
Compatible Mappings ◽  
Integral Type ◽  
Weakly Compatible ◽  
Common Fixed Point Theorem ◽  
Type Contraction

AbstractIn this paper, a common fixed point theorem for two pairs of weakly compatible mappings satisfying Altman integral type contraction in a metric space is proved. Our result extends and improves several known results.

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