farzaneh Nikbakht - Academia.edu (original) (raw)
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Papers by farzaneh Nikbakht
Iranian Journal of Mathematical Sciences and Informatics, Oct 10, 2019
2023 IEEE Congress on Evolutionary Computation (CEC)
Soft Computing and Optimization
Springer proceedings in mathematics & statistics, 2022
Acta Mathematica Hungarica, 2006
Recently, Pathak [13] has made an extension of the notion of compatibility to weak compatibility,... more Recently, Pathak [13] has made an extension of the notion of compatibility to weak compatibility, and extended the coincidence theorem for compatible mappings in Kaneko and Sessa [11] to weakly compatible mappings [13]. In the present paper, we define a new class of weakly compatible mappings (Definition 4) and prove some common fixed point theorems for these mappings, which satisfy Condition (2) below. Although our main theorem is formulated for weakly compatible mappings, its corresponding formulation for commutative mappings is also a new result, thus presenting a generalization of some theorems of
![Research paper thumbnail of [Formula: see text]-Contraction in terms of measure of noncompactness with application for nonlinear integral equations](https://attachments.academia-assets.com/92177024/thumbnails/1.jpg)
](Journal of inequalities and applications, 2017
In this paper, some new generalization of Darbo's fixed point theorem is proved by using a [F... more In this paper, some new generalization of Darbo's fixed point theorem is proved by using a [Formula: see text]-contraction in terms of a measure of noncompactness. Our result extends to obtaining a common fixed point for a pair of compatible mappings. The paper contains an application for nonlinear integral equations as well.
![Research paper thumbnail of [Formula: see text]-Contraction in terms of measure of noncompactness with application for nonlinear integral equations](https://attachments.academia-assets.com/70572458/thumbnails/1.jpg)
](In this paper, some new generalization of Darbo's fixed point theorem is proved by using a F(ψ , ... more In this paper, some new generalization of Darbo's fixed point theorem is proved by using a F(ψ , ϕ)-contraction in terms of a measure of noncompactness. Our result extends to obtaining a common fixed point for a pair of compatible mappings. The paper contains an application for nonlinear integral equations as well.
Iranian Journal of Mathematical Sciences and Informatics, Oct 10, 2019
2023 IEEE Congress on Evolutionary Computation (CEC)
Soft Computing and Optimization
Springer proceedings in mathematics & statistics, 2022
Acta Mathematica Hungarica, 2006
Recently, Pathak [13] has made an extension of the notion of compatibility to weak compatibility,... more Recently, Pathak [13] has made an extension of the notion of compatibility to weak compatibility, and extended the coincidence theorem for compatible mappings in Kaneko and Sessa [11] to weakly compatible mappings [13]. In the present paper, we define a new class of weakly compatible mappings (Definition 4) and prove some common fixed point theorems for these mappings, which satisfy Condition (2) below. Although our main theorem is formulated for weakly compatible mappings, its corresponding formulation for commutative mappings is also a new result, thus presenting a generalization of some theorems of
Journal of inequalities and applications, 2017
In this paper, some new generalization of Darbo's fixed point theorem is proved by using a [F... more In this paper, some new generalization of Darbo's fixed point theorem is proved by using a [Formula: see text]-contraction in terms of a measure of noncompactness. Our result extends to obtaining a common fixed point for a pair of compatible mappings. The paper contains an application for nonlinear integral equations as well.
In this paper, some new generalization of Darbo's fixed point theorem is proved by using a F(ψ , ... more In this paper, some new generalization of Darbo's fixed point theorem is proved by using a F(ψ , ϕ)-contraction in terms of a measure of noncompactness. Our result extends to obtaining a common fixed point for a pair of compatible mappings. The paper contains an application for nonlinear integral equations as well.