Papers by Mohammad Bagher Ghaemi
Dedicated to the 70th Anniversary of S.M.Ulam's Problem for Approximate Homomorphisms
We show that higher derivations on a Hilbert C module associated with the Cauchy functional equat... more We show that higher derivations on a Hilbert C module associated with the Cauchy functional equation satisfying generalized Hyers-Ulam stability.
We prove the Hyers-Ulam stability of higher ternary Jordan derivations in ternary algebras associ... more We prove the Hyers-Ulam stability of higher ternary Jordan derivations in ternary algebras associated with the Cauchy functional equation by applying a version of the fixed point Theorem.
We show that a quaternary Jordan derivation on a quaternary Banach algebra associated with the eq... more We show that a quaternary Jordan derivation on a quaternary Banach algebra associated with the equation is satisfied in generalized Hyers-Ulam stability.
In this paper it is shown that T and I have a unique common fixed point on a compact subset C of ... more In this paper it is shown that T and I have a unique common fixed point on a compact subset C of a metric space X, where T and I are two self maps on C, I is non-expansive and the pair (T, I) is weakly commuting. In [3] Fisher and Sessa verified the same problem but with C closed subset. Further we show this result by replacing compatibility with weakly commutativity of pair (T, I) and continuity with non-expansiveness of I. AMS Subject Classification: 47H09; 47H10
Research Square (Research Square), Aug 1, 2022
In this article, after implementing traveling wave solutions on the Bogoyavlenskii equation ,and ... more In this article, after implementing traveling wave solutions on the Bogoyavlenskii equation ,and then by employing the extended rational methods, we reach solutions. One of the applicability ways to find the solutions of nonlinear evolution equations are proposed in this paper.
New precise solutions to the Bogoyavlenskii equation by extended rational techniques
International Journal of Modern Physics B, Jan 27, 2023
This paper adopts the rational extended sine-cosine and cosh-sinh methods to construct the Bogoya... more This paper adopts the rational extended sine-cosine and cosh-sinh methods to construct the Bogoyavlenskii equation’s exact solutions. To the best of our knowledge, the Bogoyavlenskii equation has not been investigated by aforementioned techniques. In this paper, we find the precise traveling wave solutions of the Bogoyavlenskii equation. Finally, 3D and 2D graphics of the obtained solutions are illustrated for the applicability and reliability of the proposed strategy for various special values.
Existence of solutions for the nonlinear integro-differential system
Mathematical sciences, Jun 29, 2022
Miskolc Mathematical Notes, 2017
In this paper we extend Darbo's fixed point theorem in Banach spaces and obtain a tripled fixed p... more In this paper we extend Darbo's fixed point theorem in Banach spaces and obtain a tripled fixed point theorem. The technique of measure of noncompactness is the main tool in carrying out our proof. Finally, as an application of our results, we analyze the existence of solutions for a system of neutral differential equations.
A common fixed point theorem via measure of noncompactness
International Journal of Nonlinear Analysis and Applications, Jul 1, 2021
In this paper by applying the measure of noncompactness a common fixed point for the maps $T$ and... more In this paper by applying the measure of noncompactness a common fixed point for the maps $T$ and $S$ is obtained, where $T$ and $S$ are self maps continuous or commuting continuous on a closed convex subset $C$ of a Banach space $E$ and also $S$ is a linear map.
The Journal of Nonlinear Sciences and Applications, Dec 5, 2018
In this paper, by concept of Γ-function which is define on q-G-m (quasi-G-metric) space, we estab... more In this paper, by concept of Γ-function which is define on q-G-m (quasi-G-metric) space, we establish a generalized Ekeland's variational principle in the setting of lower semicontinuous from above. As application we prove generalized flower petal theorem in q-G-m.
Journal of Nonlinear Mathematical Physics, Jan 11, 2023
The existence of a solution for a system of two nonlinear high-order fractional differential equa... more The existence of a solution for a system of two nonlinear high-order fractional differential equations including the Atangana-Baleanu-Caputo derivative with integral boundary conditions, is proved. Simultaneously, we discuss the existence of a solution by applying the Schauder fixed point theorem and a generalized Darbo fixed point theorem, which involves the concept of measure of noncompactness. The paper also contains some examples that illustrate the application of the main result.
Spectral theory of linear operators
Interpolating the Arithmetic-Geometric Mean Inequality and Its Operator Version
Springer eBooks, 2021
In this chapter, we gather refinements of the classical Young inequality for positive real number... more In this chapter, we gather refinements of the classical Young inequality for positive real numbers, and we use these refinements to establish improved Young and Heinz inequalities for operators. According to the definitions of operator entropies, relative operator entropies, and Tsallis operator entropy, the readers can employ the techniques in this chapter to get new upper and lower bounds of the operator entropies.
Journal of Inequalities and Applications, Oct 25, 2016
The new sequence spaces X(r, s, t;) for X ∈ {l ∞ , c, c 0 } have been defined by using generalize... more The new sequence spaces X(r, s, t;) for X ∈ {l ∞ , c, c 0 } have been defined by using generalized means and difference operator. In this work, we establish identities or estimates for the operator norms and the Hausdorff measure of noncompactness of certain matrix operators on some new difference sequence spaces X(r, s, t;) where X ∈ {l ∞ , c, c 0 , l p } (1 ≤ p < ∞), as derived by using generalized means. Further, we find the necessary and sufficient conditions for such operators to be compact by applying the Hausdorff measure of noncompactness. Finally, as applications we characterize some classes of compact operators between these new difference sequence spaces and some other BK-spaces.
$$\alpha $$-Whittaker controllability of $$\vartheta $$-Hilfer fractional stochastic evolution equations driven by fractional Brownian motion
Computational & Applied Mathematics, Jun 12, 2023
Existence and regularity results for a system of $$\Lambda $$-Hilfer fractional differential equations by the generalized Lax–Milgram theorem
Indian Journal of Pure and Applied Mathematics, May 3, 2023
arXiv (Cornell University), Aug 20, 2017
In this paper we present some reverses of the Golden-Thompson type inequalities: Let H and K be H... more In this paper we present some reverses of the Golden-Thompson type inequalities: Let H and K be Hermitian matrices such that e s e H ols
Study on the integro-differential equations on $${C^1}({\mathbb {R}}_{+})$$
Computational & Applied Mathematics, Feb 23, 2023
Research Square (Research Square), Aug 17, 2022
This paper introduces sufficient conditions for the existence of solutions in some classes of int... more This paper introduces sufficient conditions for the existence of solutions in some classes of integro-differential equations. Due to Darbo's fixed point theorem with an appropriate measure of noncompactness, we prove the existence of solution in each class of equations. Finally, some significant examples are solved using the artificial small parameter method.
Research Square (Research Square), Aug 1, 2022
This paper introduces sufficient conditions for the existence of solutions in some classes of int... more This paper introduces sufficient conditions for the existence of solutions in some classes of integro-differential equations. Due to Darbo's fixed point theorem with an appropriate measure of noncompactness, we prove the existence of solution in each class of equations. Finally, some significant examples are solved using the artificial small parameter method.
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Papers by Mohammad Bagher Ghaemi