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 On non-linear contractions via extended CF-simulation functions

Filomat ◽  
2018 ◽  
Vol 32 (10) ◽  
pp. 3731-3750 ◽  
Author(s):  
Ankush Chanda ◽  
Arslan Ansari ◽  
Lakshmi Dey ◽  
Bosko Damjanovic
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Simulation Function ◽  
Complete Metric Spaces ◽  
Auxiliary Functions ◽  
Non Linear ◽  
Simulation Functions

On grounds of the notion of simulation functions, in this manuscript, we bring in the concept of an extended CF-simulation function and conceive a few common fixed point results via such kind of contractions on complete metric spaces. These class of auxiliary functions generalize, improve and extend those of simulation functions, extended simulation functions and CF-simulation functions. However, as applications of the aforesaid results, we figure out some related consequences of it on the said spaces. Our findings are authenticated by the aid of some competent, non-trivial and constructive examples.

scholarly journals Fixed points results via simulation functions

Filomat ◽  
2016 ◽  
Vol 30 (8) ◽  
pp. 2343-2350 ◽  
Author(s):  
Erdal Karapınar
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Simulation Function ◽  
Complete Metric Spaces ◽  
Admissible Mapping ◽  
Simulation Functions

In this paper, we present some fixed point results in the setting of a complete metric spaces by defining a new contractive condition via admissible mapping imbedded in simulation function. Our results generalize and unify several fixed point theorems in the literature.

scholarly journals Discussions on the almost 𝒵-contraction

2020 ◽  
Vol 18 (1) ◽  
pp. 448-457
Author(s):  
Erdal Karapınar ◽  
V. M. L. Hima Bindu
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Complete Metric Spaces ◽  
The Given

Abstract In this paper, we introduce a new contraction, namely, almost {\mathcal{Z}} contraction with respect to \zeta \in {\mathcal{Z}} , in the setting of complete metric spaces. We proved that such contraction possesses a fixed point and the given theorem covers several existing results in the literature. We consider an example to illustrate our result.

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 A New Approach to the Study of Fixed Point Theorems withw-Distances viaR-Functions

2016 ◽  
Vol 2016 ◽  
pp. 1-9
Author(s):  
Farzad Zarinfar ◽  
Farshid Khojasteh ◽  
Seyyed Mansour Vaezpour
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
New Approach ◽  
Complete Metric Spaces ◽  
Type Contraction

We introduce some new generalization of fixed point theorems in complete metric spaces endowed withw-distances viaR-functions. Our results extend many of known fixed point theorems such as Reich type contraction, Geraghty contraction, Meir-Keeler contraction, andZ-contraction. In addition, the result and corollaries show that our approach has a constructive attitude and many known and unknown results can be constructed in such way.

scholarly journals On the Power of Simulation and Admissible Functions in Metric Fixed Point Theory

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Areej S. S. Alharbi ◽  
Hamed H. Alsulami ◽  
Erdal Karapinar
Keyword(s):  
Fixed Point ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Admissible Function ◽  
Point Theory ◽  
Contractive Condition ◽  
Simulation Function ◽  
The Given ◽  
Admissible Functions

We investigate the existence and uniqueness of certain operators which form a new contractive condition via the combining of the notions of admissible function and simulation function contained in the context of completeb-metric spaces. The given results not only unify but also generalize a number of existing results on the topic in the corresponding literature.

scholarly journals Some Fixed-Point Results via Mix-Type Contractive Condition

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Özlem Acar
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Fixed Point Problem ◽  
Point Problem ◽  
Contractive Condition ◽  
Complete Metric Spaces ◽  
Rational Type ◽  
Type Contraction

We consider a fixed-point problem for mappings involving a rational type and almost type contraction on complete metric spaces. To do this, we are using F -contraction and H , φ -contraction. We also present an example to illustrate our result.

scholarly journals On ℋ-Simulation Functions and Fixed Point Results in the Setting of ωt-Distance Mappings with Application on Matrix Equations

Mathematics ◽  
2020 ◽  
Vol 8 (5) ◽  
pp. 837
Author(s):  
Anwar Bataihah ◽  
Wasfi Shatanawi ◽  
Tariq Qawasmeh ◽  
Raed Hatamleh
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Matrix Equations ◽  
Simulation Function ◽  
Simulation Functions

The concepts of b-metric spaces and ω t -distance mappings play a key role in solving various kinds of equations through fixed point theory in mathematics and other science. In this article, we study some fixed point results through these concepts. We introduce a new kind of function namely, H -simulation function which is used in this manuscript together with the notion of ω t -distance mappings to furnish for new contractions. Many fixed point results are proved based on these new contractions as well as some examples are introduced. Moreover, we introduce an application on matrix equations to focus on the importance of our work.

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