scholarly journals Fixed Points of GeneralizedF-Suzuki Type Contraction in Completeb-Metric Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-8 ◽  
Author(s):  
Hamed Hamdan Alsulami ◽  
Erdal Karapınar ◽  
Hossein Piri
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Suzuki Type Contraction ◽  
Type Contraction

We introduce the notion of generalizedF-Suzuki type contraction inb-metric spaces and investigate the existence of fixed points of such mappings. The presented results generalize and improve several results of the topics in the literature.

scholarly journals Fixed Points of g-Interpolative Ćirić–Reich–Rus-Type Contractions in b-Metric Spaces

Axioms ◽  
2020 ◽  
Vol 9 (4) ◽  
pp. 132
Author(s):  
Youssef Errai ◽  
El Miloudi Marhrani ◽  
Mohamed Aamri
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Point Theory ◽  
New Type ◽  
The Given ◽  
Type Contraction

We use interpolation to obtain a common fixed point result for a new type of Ćirić–Reich–Rus-type contraction mappings in metric space. We also introduce a new concept of g-interpolative Ćirić–Reich–Rus-type contractions in b-metric spaces, and we prove some fixed point results for such mappings. Our results extend and improve some results on the fixed point theory in the literature. We also give some examples to illustrate the given results.

scholarly journals Common Fixed Points of Two Mappings regarding a Generalized c -Distance over a Banach Algebra

2021 ◽  
Vol 2021 ◽  
pp. 1-5
Author(s):  
Ladan Aryanpour ◽  
Hamidreza Rahimi ◽  
Ghasem Soleimani Rad
Keyword(s):  
Fixed Point ◽  
Banach Algebra ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Solid Cone ◽  
Common Fixed Point Theorems ◽  
Type Contraction

In this article, applying the concept of a generalized c -distance in cone b -metric spaces over Banach algebra with a nonnormal solid cone therein, we establish several common fixed point theorems for two noncontinuous mappings satisfying the Han-Xu-type contraction. Our results are interesting, since they are not equivalent to former well-known results regarding a w t -distance in b -metric spaces while they contain recent results corresponding to a generalized c -distance in cone b -metric spaces.

scholarly journals On Wong Type Contractions

Mathematics ◽  
2020 ◽  
Vol 8 (4) ◽  
pp. 649
Author(s):  
Erdal Karapınar ◽  
Andreea Fulga
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Contraction Mappings ◽  
Admissible Mapping ◽  
Paper Cover ◽  
Type Contraction

In this paper, by using admissible mapping, Wong type contraction mappings are extended and investigated in the framework of quasi-metric spaces to guarantee the existence of fixed points. We consider examples to illustrate the main results. We also demonstrate that the main results of the paper cover several existing results in the literature.

scholarly journals Fixed Point Results under Generalized c-Distance in Cone b-Metric Spaces Over Banach Algebras

Axioms ◽  
2020 ◽  
Vol 9 (1) ◽  
pp. 31
Author(s):  
Ataollah Arabnia Firozjah ◽  
Hamidreza Rahimi ◽  
Manuel De la Sen ◽  
Ghasem Soleimani Rad
Keyword(s):  
Fixed Point ◽  
Banach Algebra ◽  
Fixed Points ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Banach Algebras ◽  
Continuity Condition ◽  
Normality Condition ◽  
Type Contraction

In this work, we define the concept of a generalized c-distance in cone b-metric spaces over a Banach algebra and introduce some its properties. Then, we prove the existence and uniqueness of fixed points for mappings satisfying weak contractive conditions such as Han–Xu-type contraction and Cho-type contraction with respect to this distance. Our assertions are useful, since we remove the continuity condition of the mapping and the normality condition for the cone. Several examples are given to support the main results.

scholarly journals On Hybrid Contractions in the Context of Quasi-Metric Spaces

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 675
Author(s):  
Andreea Fulga ◽  
Erdal Karapınar ◽  
Gabriela Petruşel
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Recent Literature ◽  
Hybrid Type ◽  
The Given ◽  
Type Contraction

In this manuscript, we will investigate the existence of fixed points for mappings that satisfy some hybrid type contraction conditions in the setting of quasi-metric spaces. We provide examples to assure the validity of the given results. The results of this paper generalize several known theorems in the recent literature.

scholarly journals Some Results on Generalized Pata–Suzuki Type Contractive Mappings

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
Merve Aktay ◽  
Murat Özdemir
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Mappings ◽  
Admissible Mapping ◽  
Suzuki Type Contraction ◽  
Type Contraction

In this work, we establish new fixed point theorems for generalized Pata–Suzuki type contraction via α -admissible mapping in metric spaces and to prove some fixed point results for such mappings. Moreover, we give an example to illustrate our main result. Consequently, the results presented in this paper generalize and improve the corresponding results of the literature.

scholarly journals Some New Results of Interpolative Hardy–Rogers and Ćirić–Reich–Rus Type Contraction

2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Youssef Errai ◽  
El Miloudi Marhrani ◽  
Mohamed Aamri
Keyword(s):  
Fixed Points ◽  
Metric Space ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Contractive Mapping ◽  
Contraction Mappings ◽  
Weakly Contractive Mapping ◽  
New Concepts ◽  
Weakly Contractive ◽  
Type Contraction

In this paper, we present new concepts on completeness of Hardy–Rogers type contraction mappings in metric space to prove the existence of fixed points. Furthermore, we introduce the concept of g -interpolative Hardy–Rogers type contractions in b -metric spaces to prove the existence of the coincidence point. Lastly, we add a third concept, interpolative weakly contractive mapping type, Ćirić–Reich–Rus, to show the existence of fixed points. These results are a generalization of previous results, which we have reinforced with examples.

scholarly journals Fixed-Points of Interpolative Ćirić-Reich–Rus-Type Contractions in b-Metric Spaces

Symmetry ◽  
2019 ◽  
Vol 12 (1) ◽  
pp. 12 ◽  
Author(s):  
Pradip Debnath ◽  
Manuel de La Sen
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Symmetry Principles ◽  
Ulam Theorem ◽  
Highly Correlated ◽  
Symmetric Property ◽  
Type Contraction

The concept of symmetry is inherent in the study of metric spaces due to the presence of the symmetric property of the metric. Significant results, such as with the Borsuk–Ulam theorem, make use of fixed-point arguments in their proofs to deal with certain symmetry principles. As such, the study of fixed-point results in metric spaces is highly correlated with the symmetry concept. In the current paper, we first define a new and modified Ćirić-Reich–Rus-type contraction in a b-metric space by incorporating the constant s in its definition and establish the corresponding fixed-point result. Next, we adopt an interpolative approach to establish some more fixed-point theorems. Existence of fixed points for ω -interpolative Ćirić-Reich–Rus-type contractions are investigated in this context. We also illustrate the validity of our results with some examples.

scholarly journals Fixed points of α-Θ-Geraghty type and Θ-Geraghty graphic type contractions

2017 ◽  
Vol 18 (1) ◽  
pp. 153 ◽  
Author(s):  
Wudthichai Onsod ◽  
Poom Kumam ◽  
Yoel Je Cho
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Spaces ◽  
Partial Metric ◽  
Partial Metric Spaces ◽  
Type Contraction

<p>In this paper, by using the concept of the α-Garaghty contraction, we introduce the new notion of the α-Θ-Garaghty type contraction and prove some fixed point results for this contraction in partial metric spaces. Also, we give some examples and applications to illustrate the main results.</p>

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