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 A Hybrid Contraction that Involves Jaggi Type

Symmetry ◽  
2019 ◽  
Vol 11 (5) ◽  
pp. 715
Author(s):  
Erdal Karapınar ◽  
Andreea Fulga
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Complete Metric Spaces ◽  
Hybrid Type ◽  
Fractional Differential ◽  
The Given ◽  
Type Contraction

In this manuscript, we aim to provide a new hybrid type contraction that is a combination of a Jaggi type contraction and interpolative type contraction in the framework of complete metric spaces. We investigate the existence and uniqueness of such a hybrid contraction in separate theorems. We consider a solution to certain fractional differential equations as an application of the given results. In addition, we provide an example to indicate the genuineness of the given results.

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 Some Noncontractive Maps on Incomplete Metric Spaces Have Also Fixed Points

2019 ◽  
Vol 2019 ◽  
pp. 1-6
Author(s):  
Tawseef Rashid ◽  
Qamrul Haq Khan ◽  
Nabil Mlaiki ◽  
Hassen Aydi
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Point Theory ◽  
The Given

In this article, we discuss a new version of metric fixed point theory. The application of this newly introduced concept is to find some fixed point results where many well-known results in literature cannot be applied. We give some examples to illustrate the given concepts and obtained results.

scholarly journals The Existence of Fixed Points for a Different Type of Contractions on Partial b-Metric Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Muhammad Nazam ◽  
Hüseyin Işik ◽  
Khalil Javed ◽  
Muhammad Naeem ◽  
Muhammad Arshad
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Metric Spaces ◽  
The Given

The aim of this study is to present fixed point results in the setting of partial b -metric spaces. A different type of contractions is used to prove fixed point results in the given space, which are real generalization of many well-known results. The readers are also provided with some very interesting examples to illustrate the feasibility of the proposed work.

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 A bilateral contraction via simulation function

Filomat ◽  
2019 ◽  
Vol 33 (15) ◽  
pp. 4837-4843 ◽  
Author(s):  
Obaid Alqahtani ◽  
Erdal Karapınar
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Simulation Function ◽  
Complete Metric Spaces ◽  
Simulation Functions ◽  
The Given ◽  
Type Contraction

In this paper we introduce the notion of a bilateral contraction that combine the ideas of Ciric type contraction and Caristi type contraction with a help of simulation functions. We investigate the existence of a fixed point of such contractions in the framework of complete metric spaces. We present an example to clarify the statement of the given result.

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.

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