scholarly journals Study of Γ-simulation functions, ZΓ-contractions and revisiting the L-contractions

Filomat ◽  
2021 ◽  
Vol 35 (1) ◽  
pp. 201-224
Author(s):  
E. Karapınar ◽  
Heidary Joonaghany ◽  
F. Khojasteh ◽  
S. Radenovic
Keyword(s):  
Fixed Point ◽  
Simulation Function ◽  
Simulation Functions ◽  
Special Case

In this paper, we introduce the notions of Z?-ontractions and Suzuki Z?-contractions via ?-simulation functions. By using these new contractions, we extend and unify several existing fixed point results in the corresponding literature. We also show that the recently defined notion of L-simulation function is an special case of Z?-contraction. In addition, some notable examples are given to illustrate and support the obtained results.

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.

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 A new approach to the study of fixed point theory for simulation functions in G-Metric spaces

2017 ◽  
Vol 37 (2) ◽  
pp. 115-121
Author(s):  
Manoj Kumar ◽  
Rushmi Sharma
Keyword(s):  
Fixed Point ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Simulation Function ◽  
New Approach ◽  
Simulation Functions

In this paper first of all, we introduce the mapping  : [0;1) X [0;1)   R,called the simulation function and the notion of Z-contraction with respect to which generalize several known types of contractions. Secondly, we prove certain xed point theorems using simulation functions in G-Metric spaces. An example is also given to support our result.

scholarly journals Fixed Point Results on Δ-Symmetric Quasi-Metric Space via Simulation Function with an Application to Ulam Stability

Mathematics ◽  
2018 ◽  
Vol 6 (10) ◽  
pp. 208 ◽  
Author(s):  
Badr Alqahtani ◽  
Andreea Fulga ◽  
Erdal Karapınar
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Ulam Stability ◽  
Simulation Function ◽  
Simulation Functions

In this paper, in the setting of Δ -symmetric quasi-metric spaces, the existence and uniqueness of a fixed point of certain operators are scrutinized carefully by using simulation functions. The most interesting side of such operators is that they do not form a contraction. As an application, in the same framework, the Ulam stability of such operators is investigated. We also propose some examples to illustrate our 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 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 New Fixed-Point Theorems on an S-metric Space via Simulation Functions

Mathematics ◽  
2019 ◽  
Vol 7 (7) ◽  
pp. 583
Author(s):  
Nabil Mlaiki ◽  
Nihal Yılmaz Özgür ◽  
Nihal Taş
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Simulation Function ◽  
Circle Problem ◽  
Simulation Functions

In this paper, we prove new fixed-point theorems using the set of simulation functions on an S-metric space with some illustrative examples. Our results are stronger than some known fixed-point results. Furthermore, we give an application to the fixed-circle problem with respect to a simulation function.

Fuzzy fixed point results via simulation functions

2021 ◽  
Author(s):  
Shehu Shagari Mohammed ◽  
Ibrahim Aliyu Fulatan
Keyword(s):  
Fixed Point ◽  
Simulation Functions ◽  
Fuzzy Fixed Point

scholarly journals Common fixed point theorem on Proinov type mappings via simulation function

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Badr Alqahtani ◽  
Sara Salem Alzaid ◽  
Andreea Fulga ◽  
Seher Sultan Yeşilkaya
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Point Theorem ◽  
Simulation Function ◽  
Type Mapping ◽  
The Common ◽  
Common Fixed Point Theorem

AbstractIn this paper, we aim to discuss the common fixed point of Proinov type mapping via simulation function. The presented results not only generalize, but also unify the corresponding results in this direction. We also consider an example to indicate the validity of the obtained results.

Simulation functions and Meir–Keeler condensing operators with application to integral equations

2021 ◽  
Author(s):  
Moosa Gabeleh ◽  
Mehdi Asadi ◽  
Pradip Ramesh Patle
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Banach Spaces ◽  
Integral Equations ◽  
Point Theorem ◽  
Darbo’S Fixed Point Theorem ◽  
Simulation Functions ◽  
Condensing Operators

We propose a new concept of condensing operators by using a notion of measure of non-compactness in the setting of Banach spaces and establish a new generalization of Darbo’s fixed point theorem. We also show the applicability of our results to integral equations. A concrete example will be presented to support the application part.

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