Papers by Sahand Communications in Mathematical Analysis
In this paper we define a new subclass SLH (k, γ; φ) of log-harmonic mappings, and then basic pro... more In this paper we define a new subclass SLH (k, γ; φ) of log-harmonic mappings, and then basic properties such as dilations, convexity on one direction and convexity of log functions of convex-exponent product of elements of that class are discussed. Also we find sufficient conditions on β such that f ∈ SLH (k, γ; φ) leads to F (z) = f (z)|f (z)| 2β ∈ SLH (k, γ, φ). Our results generalize the analogues of the earlier works in the combinations of harmonic functions.
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In this article, we will study the existence and uniqueness of optimal common fixed points for se... more In this article, we will study the existence and uniqueness of optimal common fixed points for self-mappings in metric spaces with w-distance. We obtain generalizations of the Kocev and Rakočević fixed point theorems. The obtained results do not require the continuity or the condition (C; k) of maps, but require the weaker condition (W). We also improve some of our results when the metric space is equipped with a w0-distance. In this way, we get new existence results for non-cyclic quasi-contraction mappings of the Fisher type.
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In this paper, some conditions have been improved so that the function g(z) is defined as g(z) = ... more In this paper, some conditions have been improved so that the function g(z) is defined as g(z) = 1 + ∞ ∑ k≥2 a n+k z n+k , which is analytic in unit disk U , can be in more specific subclasses of the S class, which is the most fundamental type of univalent function. It is analyzed some characteristics of starlike and convex functions of order 2 −r. 2020 Mathematics Subject Classification. 30C45.
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We generalize a theorem due to Jarosz, by proving that every almost n-multiplicative linear funct... more We generalize a theorem due to Jarosz, by proving that every almost n-multiplicative linear functional on Banach algebra A is automatically continuous. The relation between almost multiplicative and almost n-multiplicative linear functional on Banach algebra A is also investigated. Additionally, for commutative Banach algebra A, we prove that every almost Jordan homomorphism φ : A −→ C is an almost n-Jordan homomorphism.
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In this paper, we introduce the notion of deferred statistical convergence in the neutrosophic no... more In this paper, we introduce the notion of deferred statistical convergence in the neutrosophic normed spaces as an extension of statistical convergence, λ-statistical convergence, and lacunary statistical convergence. We investigate a few fundamental properties of the newly introduced notion. Finally, we introduce the concept of deferred statistical Cauchy sequence and show that deferred statistical Cauchy sequences are equivalent to deferred statistical convergent sequences in the neutrosophic normed spaces.
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The aim of this article is to obtain some necessary and sufficient conditions for functions, whos... more The aim of this article is to obtain some necessary and sufficient conditions for functions, whose coefficients are probabilities of the Miller-Ross-type Poisson distribution series, to belong to certain subclasses of analytic and univalent functions. Furthermore, we consider an integral operator related to the Miller-Ross type Poisson distribution series.
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In this paper, we study the concept of multipliers for the continuous g-Bessel families in Hilber... more In this paper, we study the concept of multipliers for the continuous g-Bessel families in Hilbert spaces. We present necessary conditions for invertibility of multipliers for the continuous g-Bessel families and sufficient conditions for invertibility of multipliers for continuous g-frames.
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In this paper, we investigate Godunova type inequality for Sugeno integrals in two cases. At the ... more In this paper, we investigate Godunova type inequality for Sugeno integrals in two cases. At the first case, we suppose that the inner integral is the Riemann integral and the remaining two integrals are of Sugeno type. At the second case, all the integrals are assumed Sugeno integrals. We present several examples to illustrate validity of our results.
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In this article we have introduced the sequence space m(ϕ, d) and m(M, ϕ, d) of W. L. C. Sargent ... more In this article we have introduced the sequence space m(ϕ, d) and m(M, ϕ, d) of W. L. C. Sargent type in a metric space (X, d) on generalising the sequence space m(ϕ) and we have defined these sequence spaces using the Orlicz function M. We have investigated their different properties like solidness, symmetricity, monotone, sequence algebra, completeness etc. We have established some inclusion results involving the space m(M, ϕ, d) and some of the existing sequence spaces. We have provided suitable examples and discussed in detail, in order to justify the failure cases and the definitions we have introduced. The results established in this article generalized and unifies several existing results.
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In this work, we introduce an iterative algorithm for solving the split feasibility problem on ze... more In this work, we introduce an iterative algorithm for solving the split feasibility problem on zeros of the sum of monotone operators and fixed point sets and also solving the fixed point problem of a nonexpansive mapping. This algorithm is a modification of the method based on the inertial and Mann viscosity-type methods. By assuming the existence of solutions, we show the strong convergence theorems of the constructed sequences. Finally, we also apply the proposed algorithm to related problems in Hilbert spaces.
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In this paper, we express and prove Bushell-Okrasiaski, Hardy and Minkowski type inequalities for... more In this paper, we express and prove Bushell-Okrasiaski, Hardy and Minkowski type inequalities for two classes of pseudointegrals. One of them, classes with pseudo-integrals where pseudooperations are defined via a monotone and continuous generator function. The other one concerns the pseudo-integrals based on a semiring with an idempotent addition and a pseudo-multiplication generator. Those are important inequalities from both mathematical and application points of view. The established results are based on the classical Bushell-Okrasiaski, Hardy and Minkowski's inequalities for integrals. Also, some examples and applications are presented.
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Let B1 denote the closed unit ball of B(H), the von Neumann algebra of all bounded linear operato... more Let B1 denote the closed unit ball of B(H), the von Neumann algebra of all bounded linear operators on a complex Hilbert space H with dim H ≥ 2. Suppose that ϕ is a bijection on B1 (with no linearity assumption) satisfying ϕ(AB * A) = ϕ(A)ϕ(B) * ϕ(A), (A, B ∈ B1). If I and T denote the identity operator on H and the unit circle in C, respectively and if ϕ is continuous on {λI : λ ∈ T}, then we show that ϕ(I) is a unitary operator and ϕ(I)ϕ extends to a linear or conjugate linear Jordan *-automorphism on B(H). As a consequence, there is either a unitary or an antiunitary operator U on H such that ϕ(A) = ϕ(I)U AU * , (A ∈ B1) or ϕ(A) = ϕ(I)U A * U * , (A ∈ B1).
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This paper deals with the existence and uniqueness of the mild solution of the fractional integro... more This paper deals with the existence and uniqueness of the mild solution of the fractional integro-differential equations with non-instantaneous impulses and state-dependent delay. Our arguments are based on the fixed point theory. Finally, an example to confirm of the results is provided.
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In this paper, the notion of ps − ro β-open (closed) fuzzy sets on a fuzzy topological space(f ts... more In this paper, the notion of ps − ro β-open (closed) fuzzy sets on a fuzzy topological space(f ts) has been introduced as a new tool to study f ts, the properties of these sets are investigated and shown to be unrelated to the common concept of fuzzy β-open (closed) sets. Based on these fuzzy sets, ps − ro fuzzy β-continuity and ps − ro fuzzy β-open (closed) functions are proposed and they are also found to be different from the idea of fuzzy β-continuous and fuzzy β-open (closed) functions, respectively. Further, their characterizations and relationships with existing allied concepts are investigated. 1991 Mathematics Subject Classification. 54A40, 54C08. Key words and phrases. Fuzzy β-open, Pseudo regular open fuzzy topology, ps−ro β-open(closed) fuzzy sets, ps − ro fuzzy β-continuity, ps − ro fuzzy β-open(closed) function.
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Papers by Sahand Communications in Mathematical Analysis