scholarly journals Fixed point theorems on some weak contraction mappings in quasi αb-metric space

2018 ◽  
Vol 1013 ◽  
pp. 012151
Author(s):  
B Nurwahyu ◽  
N Aris
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Weak Contraction ◽  
Contraction Mappings

scholarly journals Some fixed point theorems in n-normed spaces

2020 ◽  
Vol 25 (3) ◽  
pp. 1-15 ◽  
Author(s):  
Hanan Sabah Lazam ◽  
Salwa Salman Abed
Keyword(s):  
Fixed Point ◽  
Banach Spaces ◽  
Normed Space ◽  
Fixed Point Theorems ◽  
Normed Spaces ◽  
Weak Contraction ◽  
Contraction Mappings ◽  
Basic Properties ◽  
Definition Of

In this article, we recall the definition of a real n-normed space and some basic properties. fixed point theorems for types of Kannan, Chatterge, Zamfirescu, -Weak contraction and  - (,)-Weak contraction mappings in  Banach spaces.

scholarly journals Some Fixed Point Theorems Via Combination of Weak Contraction and Caristi Contractive Mapping

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Kushal Roy ◽  
Sayantan Panja ◽  
Mantu Saha ◽  
Zoran D. Mitrović
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Mapping ◽  
Weak Contraction ◽  
Complete Metric Spaces ◽  
Contractive Mappings

Abstract In this paper we introduce some new types of contractive mappings by combining Caristi contraction, Ćirić-quasi contraction and weak contraction in the framework of a metric space. We prove some fixed point theorems for such type of mappings over complete metric spaces with the help of φ-diminishing property. Some examples are given in strengthening the hypothesis of our established theorems.

scholarly journals Φ,Ψ-Weak Contractions in Neutrosophic Cone Metric Spaces via Fixed Point Theorems

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Wadei F. Al-Omeri ◽  
Saeid Jafari ◽  
Florentin Smarandache
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Space ◽  
Weak Contraction ◽  
Cone Metric Spaces ◽  
Altering Distance ◽  
Common Fixed Point Theorems ◽  
Cone Metric

In this manuscript, we obtain common fixed point theorems in the neutrosophic cone metric space. Also, notion of Φ,Ψ-weak contraction is defined in the neutrosophic cone metric space by using the idea of altering distance function. Finally, we review many examples of cone metric spaces to verify some properties.

scholarly journals Fixed Point of Generalized Weak Contraction in b -Metric Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Maryam Iqbal ◽  
Afshan Batool ◽  
Ozgur Ege ◽  
Manuel de la Sen
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Weak Contraction ◽  
Generalized Weak Contraction

In this manuscript, a class of generalized ψ , α , β -weak contraction is introduced and some fixed point theorems in the framework of b -metric space are proved. The result presented in this paper generalizes some of the earlier results in the existing literature. Further, some examples and an application are provided to illustrate our main result.

A GENERALIZATION OF AN EXTENDED b-METRIC SPACE AND SOME FIXED POINT THEOREMS

2021 ◽  
Vol 10 (5) ◽  
pp. 2351-2360
Author(s):  
V. Singh ◽  
P. Singh
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Lipschitz Constant ◽  
Contraction Mappings ◽  
Underlying Space ◽  
Comparison Functions

In this paper, we present fixed point theorems for contraction mappings in a generalization of an extended $b$-metric space where the product of the Lipschitz constant and functions of the underlying space in the limit are bounded by one for sequences in an orbit. Futhermore, we prove fixed point results in which the contraction involves $b$-comparison functions.

scholarly journals Coupled Fixed Point Theorems for Weak Contraction Mappings underF-Invariant Set

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Wutiphol Sintunavarat ◽  
Yeol Je Cho ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Contraction Mapping ◽  
Fixed Point Theorems ◽  
Coupled Fixed Point ◽  
Invariant Set ◽  
Mixed Monotone Property ◽  
Weak Contraction ◽  
Contraction Mappings ◽  
Monotone Property ◽  
Nonlinear Contraction

We extend the recent results of the coupled fixed point theorems of Cho et al. (2012) by weakening the concept of the mixed monotone property. We also give some examples of a nonlinear contraction mapping, which is not applied to the existence of the coupled fixed point by the results of Cho et al. but can be applied to our results. The main results extend and unify the results of Cho et al. and many results of the coupled fixed point theorems.

scholarly journals Fixed Point and Common Fixed Point Theorems for Generalized Weak Contraction Mappings of Integral Type in Modular Spaces

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Chirasak Mongkolkeha ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Weak Contraction ◽  
Integral Type ◽  
Contraction Mappings ◽  
Contractive Mappings ◽  
Modular Spaces ◽  
Generalized Weak Contraction ◽  
Common Fixed Point Theorems

We prove new fixed point and common fixed point theorems for generalized weak contractive mappings of integral type in modular spaces. Our results extend and generalize the results of A. Razani and R. Moradi (2009) and M. Beygmohammadi and A. Razani (2010).

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