International Journal of Analysis and Applications, 2020
In this paper, we define the concept of (F, h) − α − β-contractive mappings in probabilistic Meng... more In this paper, we define the concept of (F, h) − α − β-contractive mappings in probabilistic Menger space and prove some fixed point theorems for such mappings. Some examples are given to support the obtained results.
Boletim da Sociedade Paranaense de Matemática, Dec 26, 2022
In this paper, we define the concept of (F, h) − α − β-contractive mappings in probabilistic Meng... more In this paper, we define the concept of (F, h) − α − β-contractive mappings in probabilistic Menger space and prove some fixed point theorems for such mappings. Some examples are given to support the obtained results.
In this paper, we define the concept of (F; h)-alpha-beta-contractive mappings in probabilistic M... more In this paper, we define the concept of (F; h)-alpha-beta-contractive mappings in probabilistic Menger space and prove some fixed point theorems for such mappings. Some examples are given to support the obtained results.
In this paper, we first define the generalized (F, $ \varphi $, $ \alpha - \psi $)-contraction ma... more In this paper, we first define the generalized (F, $ \varphi $, $ \alpha - \psi $)-contraction mappings. In the following, we consider the conditions in which these mappings have a $ \varphi $-fixed point and also we present examples and applications of these mappings in partial metric space and integral equations.
In this paper, we define the concepts of (�,�, )-contractive and cyclic (�,�, )- contractive mapp... more In this paper, we define the concepts of (�,�, )-contractive and cyclic (�,�, )- contractive mapping in probabilistic Menger space. We prove some fixed point theorems for such mapping. Some examples are given to support the obtained results.
Indian Journal of Pure and Applied Mathematics, 2020
In this paper, we define the concepts of ϕ-contraction in probabilistic generalized Menger space.... more In this paper, we define the concepts of ϕ-contraction in probabilistic generalized Menger space. We prove that ϕ-contraction mappings in probabilistic generalized Menger space have a unique fixed point. Also we prove some fixed point theorems related this concept. Some examples are given to support the obtained results.
In this paper, we introduce the concept of enhanced probabilistic metric space (briefly EPM-space... more In this paper, we introduce the concept of enhanced probabilistic metric space (briefly EPM-space) as a type of probabilistic metric space. Also, we investigate the existence of fixed points for a (finite or infinite) linear combination of different types of contractive mappings in EPM-spaces. Furthermore, we investigate about the convergence of sequences (generated by a finite or infinite family of contractive mappings) to a common fixed point. The useful application of this research is the study of the stability of switched dynamic systems, where we study the conditions under which the iterative sequences generated by a (finite or infinite) linear combination of mappings (contractive or not), converge to the fixed point. Also, some examples are given to support the obtained results. In the end, a number of figures give us an overview of the examples.
International Journal of Pure and Apllied Mathematics, 2016
In this paper, we define the concepts of (α, β, ψ)-contractive and cyclic (α, β, ψ)contractive ma... more In this paper, we define the concepts of (α, β, ψ)-contractive and cyclic (α, β, ψ)contractive mapping in probabilistic Menger space. We prove some fixed point theorems for such mapping. Some examples are given to support the obtained results.
Boletim da Sociedade Paranaense de Matemática, 2017
In this paper, we define the concept of α − β-contractive mapping in probabilistic Menger space a... more In this paper, we define the concept of α − β-contractive mapping in probabilistic Menger space and prove some fixed point theorems for such mapping. Some examples are given to support the obtained results.
International Journal of Analysis and Applications, 2020
In this paper, we define the concept of (F, h) − α − β-contractive mappings in probabilistic Meng... more In this paper, we define the concept of (F, h) − α − β-contractive mappings in probabilistic Menger space and prove some fixed point theorems for such mappings. Some examples are given to support the obtained results.
Boletim da Sociedade Paranaense de Matemática, Dec 26, 2022
In this paper, we define the concept of (F, h) − α − β-contractive mappings in probabilistic Meng... more In this paper, we define the concept of (F, h) − α − β-contractive mappings in probabilistic Menger space and prove some fixed point theorems for such mappings. Some examples are given to support the obtained results.
In this paper, we define the concept of (F; h)-alpha-beta-contractive mappings in probabilistic M... more In this paper, we define the concept of (F; h)-alpha-beta-contractive mappings in probabilistic Menger space and prove some fixed point theorems for such mappings. Some examples are given to support the obtained results.
In this paper, we first define the generalized (F, $ \varphi $, $ \alpha - \psi $)-contraction ma... more In this paper, we first define the generalized (F, $ \varphi $, $ \alpha - \psi $)-contraction mappings. In the following, we consider the conditions in which these mappings have a $ \varphi $-fixed point and also we present examples and applications of these mappings in partial metric space and integral equations.
In this paper, we define the concepts of (�,�, )-contractive and cyclic (�,�, )- contractive mapp... more In this paper, we define the concepts of (�,�, )-contractive and cyclic (�,�, )- contractive mapping in probabilistic Menger space. We prove some fixed point theorems for such mapping. Some examples are given to support the obtained results.
Indian Journal of Pure and Applied Mathematics, 2020
In this paper, we define the concepts of ϕ-contraction in probabilistic generalized Menger space.... more In this paper, we define the concepts of ϕ-contraction in probabilistic generalized Menger space. We prove that ϕ-contraction mappings in probabilistic generalized Menger space have a unique fixed point. Also we prove some fixed point theorems related this concept. Some examples are given to support the obtained results.
In this paper, we introduce the concept of enhanced probabilistic metric space (briefly EPM-space... more In this paper, we introduce the concept of enhanced probabilistic metric space (briefly EPM-space) as a type of probabilistic metric space. Also, we investigate the existence of fixed points for a (finite or infinite) linear combination of different types of contractive mappings in EPM-spaces. Furthermore, we investigate about the convergence of sequences (generated by a finite or infinite family of contractive mappings) to a common fixed point. The useful application of this research is the study of the stability of switched dynamic systems, where we study the conditions under which the iterative sequences generated by a (finite or infinite) linear combination of mappings (contractive or not), converge to the fixed point. Also, some examples are given to support the obtained results. In the end, a number of figures give us an overview of the examples.
International Journal of Pure and Apllied Mathematics, 2016
In this paper, we define the concepts of (α, β, ψ)-contractive and cyclic (α, β, ψ)contractive ma... more In this paper, we define the concepts of (α, β, ψ)-contractive and cyclic (α, β, ψ)contractive mapping in probabilistic Menger space. We prove some fixed point theorems for such mapping. Some examples are given to support the obtained results.
Boletim da Sociedade Paranaense de Matemática, 2017
In this paper, we define the concept of α − β-contractive mapping in probabilistic Menger space a... more In this paper, we define the concept of α − β-contractive mapping in probabilistic Menger space and prove some fixed point theorems for such mapping. Some examples are given to support the obtained results.
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Papers by shahnaz jafari