Mohammad Moosaei - Academia.edu (original) (raw)

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Papers by Mohammad Moosaei

The harmonic projection method can be used to find interior eigenpairs of large matrices. Given a... more The harmonic projection method can be used to find interior eigenpairs of large matrices. Given a target point or shift σ to which the needed interior eigenvalues are close, the desired interior eigenpairs are the eigenvalues nearest σ and the associated eigenvectors. In this article we use the harmonic projection algorithm for computing the interior eigenpairs of a large unsymmetric generalized eigenvalue problem.

Numerical Functional Analysis and Optimization, 2021

Abstract Let A and B be two nonempty subsets of a normed linear space X. A mapping is said to be ... more Abstract Let A and B be two nonempty subsets of a normed linear space X. A mapping is said to be noncyclic if and In the current paper, we consider the problem of finding the best proximity pair for the noncyclic mapping T, that is, two fixed points of T which achieve the minimum distance between the sets A and B. We do it from some different approaches. The common condition on these results is relatively nonexpansivity of the mapping T. At the first conclusion, we obtain the existence of best proximity pairs in the setting of uniformly convex in every direction Banach spaces where the pair (A, B) is nonconvex. Then we conclude a similar result by replacing the geometric property of Opial’s property of the Banach space and adding another assumption on the mapping T, called condition We also show that the same result is true when X is a 2-uniformly convex Banach space. In the setting of k-uniformly convex Banach spaces, we prove that every nonempty, and convex pair of subsets has a geometric notion of proximal normal structure and then, we deduce the existence of best proximity pairs for relatively nonexpansive mappings in such spaces.

Southeast Asian Bulletin of Mathematics, 2003

Let S be a locally compact semitopological semigroup with measure algebra MðSÞ, M 0 ðSÞ the set o... more Let S be a locally compact semitopological semigroup with measure algebra MðSÞ, M 0 ðSÞ the set of all probability measures in MðSÞ and WF ðSÞ the space of weakly almost periodic functionals on MðSÞ Ã. Assuming that M 0 ðSÞ has the semiright invariant isometry property, it is shown that WF ðSÞ has a topological left invariant mean ðTLIMÞ whenever the center of M 0 ðSÞ is nonempty; in particular if either the center of S is nonempty or S has a left identity, then WF ðSÞ has a TLIM. Finally if, for each m A M 0 ðSÞ, the mapping n ! n à m of M 0 ðSÞ into itself is surjective and the center of M 0 ðSÞ is nonempty, then WF ðSÞ has a TLIM. We also generalize some results from discrete case to topological one.

International Journal of Nonlinear Analysis and Applications, 2021

In this paper, we introduce a condition on mappings and show that the class of these mappings is ... more In this paper, we introduce a condition on mappings and show that the class of these mappings is broader than both the class of mappings satisfying condition (C) and the class of fundamentally nonexpansive mappings, and it is incomparable with the class of quasi-nonexpansive mappings and the class of mappings satisfying condition (L). Furthermore, we present some convergence theorems and fixed point theorems for mappings satisfying the condition in the setting of Banach spaces. Finally, an example is given to support the usefulness of our results.

Abstract. We obtain a contractive condition for the existence of coincidence points of a pair of ... more Abstract. We obtain a contractive condition for the existence of coincidence points of a pair of self-mappings defined on a nonempty subset of a complete convex metric space. Moreover, we show that weakly compatible pairs have at least a common fixed point.

International Electronic Journal of Geometry, 2018

First we present a unified theory of connections on bundles necessary for the next studies. For a... more First we present a unified theory of connections on bundles necessary for the next studies. For a smooth manifold M , modeled on the Banach space B, we define the bundle of linear frames LM and we endow it with a differentiable structure. Bundle of sprays F M , the pullback of LM via the tangent bundle π : T M −→ M , is a natural bundle which provides us a rich environment to study the geometry of M. Afterward, despite of natural difficulties with Fréchet manifolds and even spaces, we generalize these results to a wide class of Fréchet manifolds, those which can be considered as projective limits of Banach manifolds. As an alternative approach we use pre-Finsler connections on F M and we show that our technique successfully solves ordinary differential equations on these manifolds. As some applications of our results we apply our method to enrich the geometry of two known Fréchet manifolds, i.e. jet of infinite sections and manifold of smooth maps, and we provide a suitable framework for further studies in these areas.

We first obtain some properties of a fundamentally nonexpansive self-mapping on a nonempty subset... more We first obtain some properties of a fundamentally nonexpansive self-mapping on a nonempty subset of a Banach space and next show that if the Banach space is having the Opial condition, then the fixed points set of such a mapping with the convex range is nonempty. In particular, we establish that if the Banach space is uniformly convex, and the range of such a mapping is bounded, closed and convex, then its the fixed points set is nonempty, closed and convex.

Thai Journal of Mathematics, 2019

In this paper, we show that the fixed points set of self-mappings satisfying condition (C) on a n... more In this paper, we show that the fixed points set of self-mappings satisfying condition (C) on a nonempty convex subset of a convex metric space having property (D) is always closed and convex. Moreover, we prove that the fixed points set of such mappings on a nonempty bounded closed convex subset of a uniformly convex complete metric space is always nonempty, closed and convex. Our results improve and extend some results in the literature.

In this paper, we present some fixed point theorems for fundamentally nonexpansive mappings in Ba... more In this paper, we present some fixed point theorems for fundamentally nonexpansive mappings in Banach spaces and give one common fixed point theorem for a commutative family of demiclosed fundamentally nonexpansive mappings on a nonempty weakly compact convex subset of a strictly convex Banach space with the Opial condition and a uniformly convex in every direction Banach space, respectively; moreover, we show that the common fixed points set of such a family of mappings is closed and convex.

Fixed Point Theory and Applications, 2016

Fixed Point Theory and Applications, 2014

Fixed Point Theory and Applications, 2012

Fixed Point Theory and Applications, 2012

The harmonic projection method can be used to find interior eigenpairs of large matrices. Given a... more The harmonic projection method can be used to find interior eigenpairs of large matrices. Given a target point or shift σ to which the needed interior eigenvalues are close, the desired interior eigenpairs are the eigenvalues nearest σ and the associated eigenvectors. In this article we use the harmonic projection algorithm for computing the interior eigenpairs of a large unsymmetric generalized eigenvalue problem.

Numerical Functional Analysis and Optimization, 2021

Abstract Let A and B be two nonempty subsets of a normed linear space X. A mapping is said to be ... more Abstract Let A and B be two nonempty subsets of a normed linear space X. A mapping is said to be noncyclic if and In the current paper, we consider the problem of finding the best proximity pair for the noncyclic mapping T, that is, two fixed points of T which achieve the minimum distance between the sets A and B. We do it from some different approaches. The common condition on these results is relatively nonexpansivity of the mapping T. At the first conclusion, we obtain the existence of best proximity pairs in the setting of uniformly convex in every direction Banach spaces where the pair (A, B) is nonconvex. Then we conclude a similar result by replacing the geometric property of Opial’s property of the Banach space and adding another assumption on the mapping T, called condition We also show that the same result is true when X is a 2-uniformly convex Banach space. In the setting of k-uniformly convex Banach spaces, we prove that every nonempty, and convex pair of subsets has a geometric notion of proximal normal structure and then, we deduce the existence of best proximity pairs for relatively nonexpansive mappings in such spaces.

Southeast Asian Bulletin of Mathematics, 2003

Let S be a locally compact semitopological semigroup with measure algebra MðSÞ, M 0 ðSÞ the set o... more Let S be a locally compact semitopological semigroup with measure algebra MðSÞ, M 0 ðSÞ the set of all probability measures in MðSÞ and WF ðSÞ the space of weakly almost periodic functionals on MðSÞ Ã. Assuming that M 0 ðSÞ has the semiright invariant isometry property, it is shown that WF ðSÞ has a topological left invariant mean ðTLIMÞ whenever the center of M 0 ðSÞ is nonempty; in particular if either the center of S is nonempty or S has a left identity, then WF ðSÞ has a TLIM. Finally if, for each m A M 0 ðSÞ, the mapping n ! n à m of M 0 ðSÞ into itself is surjective and the center of M 0 ðSÞ is nonempty, then WF ðSÞ has a TLIM. We also generalize some results from discrete case to topological one.

International Journal of Nonlinear Analysis and Applications, 2021

In this paper, we introduce a condition on mappings and show that the class of these mappings is ... more In this paper, we introduce a condition on mappings and show that the class of these mappings is broader than both the class of mappings satisfying condition (C) and the class of fundamentally nonexpansive mappings, and it is incomparable with the class of quasi-nonexpansive mappings and the class of mappings satisfying condition (L). Furthermore, we present some convergence theorems and fixed point theorems for mappings satisfying the condition in the setting of Banach spaces. Finally, an example is given to support the usefulness of our results.

Abstract. We obtain a contractive condition for the existence of coincidence points of a pair of ... more Abstract. We obtain a contractive condition for the existence of coincidence points of a pair of self-mappings defined on a nonempty subset of a complete convex metric space. Moreover, we show that weakly compatible pairs have at least a common fixed point.

International Electronic Journal of Geometry, 2018

First we present a unified theory of connections on bundles necessary for the next studies. For a... more First we present a unified theory of connections on bundles necessary for the next studies. For a smooth manifold M , modeled on the Banach space B, we define the bundle of linear frames LM and we endow it with a differentiable structure. Bundle of sprays F M , the pullback of LM via the tangent bundle π : T M −→ M , is a natural bundle which provides us a rich environment to study the geometry of M. Afterward, despite of natural difficulties with Fréchet manifolds and even spaces, we generalize these results to a wide class of Fréchet manifolds, those which can be considered as projective limits of Banach manifolds. As an alternative approach we use pre-Finsler connections on F M and we show that our technique successfully solves ordinary differential equations on these manifolds. As some applications of our results we apply our method to enrich the geometry of two known Fréchet manifolds, i.e. jet of infinite sections and manifold of smooth maps, and we provide a suitable framework for further studies in these areas.

We first obtain some properties of a fundamentally nonexpansive self-mapping on a nonempty subset... more We first obtain some properties of a fundamentally nonexpansive self-mapping on a nonempty subset of a Banach space and next show that if the Banach space is having the Opial condition, then the fixed points set of such a mapping with the convex range is nonempty. In particular, we establish that if the Banach space is uniformly convex, and the range of such a mapping is bounded, closed and convex, then its the fixed points set is nonempty, closed and convex.

Thai Journal of Mathematics, 2019

In this paper, we show that the fixed points set of self-mappings satisfying condition (C) on a n... more In this paper, we show that the fixed points set of self-mappings satisfying condition (C) on a nonempty convex subset of a convex metric space having property (D) is always closed and convex. Moreover, we prove that the fixed points set of such mappings on a nonempty bounded closed convex subset of a uniformly convex complete metric space is always nonempty, closed and convex. Our results improve and extend some results in the literature.

In this paper, we present some fixed point theorems for fundamentally nonexpansive mappings in Ba... more In this paper, we present some fixed point theorems for fundamentally nonexpansive mappings in Banach spaces and give one common fixed point theorem for a commutative family of demiclosed fundamentally nonexpansive mappings on a nonempty weakly compact convex subset of a strictly convex Banach space with the Opial condition and a uniformly convex in every direction Banach space, respectively; moreover, we show that the common fixed points set of such a family of mappings is closed and convex.

Fixed Point Theory and Applications, 2016

Fixed Point Theory and Applications, 2014

Fixed Point Theory and Applications, 2012

Fixed Point Theory and Applications, 2012