Papers by Dr. Vahid Parvaneh
Journal of Mathematical Analysis, Jun 30, 2022
In this article, we introduce the concept of tripled controlled V-metric spaces and study Kannan ... more In this article, we introduce the concept of tripled controlled V-metric spaces and study Kannan type contractions in this new structure. Also, we extend the concept of Kannan type contractions to Kannan-Presić type contractions. Our results modify some known ones in the literature. To support our main results, an example and an application in integral equations are presented. Then, the function V is called a tripled controlled V-metric on X and (X, V) is called a tripled controlled V-metric space. Remark. Note that in a V-metric space we will not have the symmetry property. Otherwise, α(, a,), β(, a,), and γ(, a,) must be equal to 1. Example 2.2. Let X = C([a, b], (−∞, +∞)) be the set of all continuous real valued functions on [a, b].
Advances in Mathematical Physics, Nov 17, 2020
In this paper, the concept of sequential p-metric spaces has been introduced as a generalization ... more In this paper, the concept of sequential p-metric spaces has been introduced as a generalization of usual metric spaces, b-metric spaces and specially of p-metric spaces. Several topological properties of such spaces have been discussed here. In view of this notion, we prove fixed point theorems for some classes of contractive mappings over such spaces. Supporting examples have been given in order to examine the validity of the underlying space and in respect to our proven fixed point theorems.
Advances in Mathematical Physics, Jun 20, 2021
In this paper, the notion of sequential ς p-metric spaces has been introduced as a generalization... more In this paper, the notion of sequential ς p-metric spaces has been introduced as a generalization of usual S-metric spaces, S b-metric spaces, S JS metric spaces, and specially of S p-metric spaces. In view of this notion, we prove some fixed point theorems for some classes of ς p-rational Geraghty JS-contractions over such spaces. A supporting example and an application have been given in order to examine the validity of the obtained results.
Fixed Point Theory and Applications, Jun 19, 2013
In this paper, we introduce the notion of almost generalized (ψ , ϕ) s-contractive mappings and w... more In this paper, we introduce the notion of almost generalized (ψ , ϕ) s-contractive mappings and we establish some fixed and common fixed point results for this class of mappings in ordered complete b-metric spaces. Our results generalize several well-known comparable results in the literature. Finally, two examples support our results.
In this paper, we introduce the notion of b-Banach spaces and we present some examples. Also, we ... more In this paper, we introduce the notion of b-Banach spaces and we present some examples. Also, we give an important extension of the Hahn-Banach theorem in a b-Banach space with an application.
Nonlinear Analysis-Modelling and Control, Jun 30, 2023
In this paper, we introduce the notion of weak Wardowski contractive multivalued mappings and inv... more In this paper, we introduce the notion of weak Wardowski contractive multivalued mappings and investigate the solvability of generalized ϕ-Caputo snap boundary fractional differential inclusions. Our results utilize some existing results regarding snap boundary fractional differential inclusions. An example is given to illustrate the applicability of our main results.
In this paper, we introduce the structure of extended quasi b-metric like spaces as a generalizat... more In this paper, we introduce the structure of extended quasi b-metric like spaces as a generalization of both quasi metric like spaces and quasi b-metric like spaces. Also, we present the notion of JSRcontractive mappings in the setup of extended quasi b-metric like spaces and investigate the existence of …xed point for such mappings. We also provide examples to illustrate the results presented herein.
WORLD SCIENTIFIC eBooks, May 22, 2023
WORLD SCIENTIFIC eBooks, May 22, 2023
Journal of Mathematics, May 26, 2022
In this article, we introduce the concept of C *-algebra-valued extended rectangular H b-metric s... more In this article, we introduce the concept of C *-algebra-valued extended rectangular H b-metric spaces and use it to prove the Banach contraction principle (BCP). Also, we extend this concept to Presić type contractions and use a method to shorten the proof. We also take an application to show the usefulness of our main result.
Demonstratio Mathematica, 2023
In this article, some new generalizations of Darbo's fixed-point theorem are given and the solvab... more In this article, some new generalizations of Darbo's fixed-point theorem are given and the solvability of an infinite system of weighted fractional integral equations of a function with respect to another function is studied. Also, with the help of a proper example, we illustrate our findings.
International Journal of Nonlinear Analysis and Applications, Feb 1, 2021
Using the concept of extended Wardowski-Mizoguchi-Takahashi contractions, we investigate the exis... more Using the concept of extended Wardowski-Mizoguchi-Takahashi contractions, we investigate the existence of solutions for three type of nonlinear fractional differential equations. To patronage our main results, some examples of nonlinear fractional differential equations are given.
Mathematical Notes, Sep 1, 2021
Advances in Mathematical Physics, Jul 29, 2022
In this manuscript, we establish some fixed point results for fuzzy mappings via ðα * , FÞ-contra... more In this manuscript, we establish some fixed point results for fuzzy mappings via ðα * , FÞ-contractions. For validation of the proved results, some nontrivial examples are presented. Few interesting consequences are also stated which authenticate that our results generalize many existing ones in the literature.
Mathematics, Sep 23, 2019
The aim of this paper is to generalize the F-contractive condition in the framework of α − ν-comp... more The aim of this paper is to generalize the F-contractive condition in the framework of α − ν-complete modular b-metric spaces. Some results in ordered modular b-metric spaces are also presented. Moreover, an illustrative example and some related applications are presented to support the obtained results.
Journal of Inequalities and Applications, Nov 12, 2019
The goal of this work is to introduce an extended interpolativeĆirić-Reich-Rus type contraction b... more The goal of this work is to introduce an extended interpolativeĆirić-Reich-Rus type contraction by the approach of Wardowski. We establish some related fixed point results (for single and multivalued-mappings). Some examples are presented to illustrate the main result. Moreover, we give an application to integral equations.
Journal of New Researches in Mathematics, Aug 22, 2020
A new and attractive metric space is a P-metric space which is a generalization of the concept of... more A new and attractive metric space is a P-metric space which is a generalization of the concept of b-metric spaces. The generalization of the principle of Banach contraction has been carried out by many authors. Generalizations focus on the extension of metric spaces and the extension of contraction conditions. A few metrics, such as partial metrics, G-metrics, 2-metrics and Branciari metrics are some examples of metrics provided in this field. The aim of this paper is to present some common fixed point results for two mappings (one of them is weakly isotone increasing with respect to another) in the framework of ordered $p$-metric spaces. Our results are generalizations of the presented results in [H. K. Nashine, B. Samet and C. Vetro, Math. Comput. Modelling, 54 (2011) 712–720] and [ J.R. Roshana, V. Parvaneh and Z. Kadelburg, J.Nonlinear Sci. Appl., 7 (2014), 229--245]. An example is also provided to support our results.
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Papers by Dr. Vahid Parvaneh