University of MaraghehSahand Communications in Mathematical Analysis2322-580719420221001Modified Inertial Algorithms for a Class of Split Feasibility Problems and Fixed Point Problems in Hilbert Spaces12425323510.22130/scma.2021.538539.985ENMontiraSuwannaprapaFaculty of Science and Agricultural Technology, Rajamangala University of Technology Lanna, Chiang Rai 57120, Thailand.0000-0002-5843-638XJournal Article20210909In 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.https://scma.maragheh.ac.ir/article_253235_25fbab41a3e626735ea6bee484c62d89.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580719420221001On a Class of Sequences Related to $p$-Absolutely Summable Sequences in Metric Space Defined by Orlicz Functions253825505810.22130/scma.2022.538729.986ENRinku CDeyDepartment of Mathematics, Jagannath Barooah College, Jorhat 785001, Assam, India.0000-0003-2566-9993Binod ChandraTripathyDepartment of Mathematics,
Tripura University, Suryamaninagar, Agartala799022, Tripura, India.0000-0002-0738-652XJournal Article20210911In this article we have introduced the sequence space $m(\phi,d)$ and $m(M,\phi,d)$ of W. L. C. Sargent type in a metric space $(X, d)$ on generalising the sequence space $m(\phi)$ 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 $m(M,\phi,d)$ 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.https://scma.maragheh.ac.ir/article_255058_e77af399e2a00cd50168319a19d9b941.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580719420221001Godunova Type Inequality for Sugeno Integral395025505910.22130/scma.2022.555229.1127ENBayazDarabyDepartment of Mathematics, University of Maragheh, P. O. Box 55136-553, Maragheh, Iran.0000-0001-6872-8661AlirezaKhodadadiDepartment of Mathematics, University of Maragheh, P. O. Box 55136-553, Maragheh, Iran.AsgharRahimiDepartment of Mathematics, University of Maragheh, P. O. Box 55136-553, Maragheh, Iran.0000-0003-2095-6811Journal Article20220606In 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.https://scma.maragheh.ac.ir/article_255059_9d85d894812730a803153191858735e0.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580719420221001Invertibility of Multipliers for Continuous G-frames516725511310.22130/scma.2022.537931.981ENMohammad RezaAbdollahpourDepartment of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, 56199-11367,Ardabil, Iran.YavarKhedmatiDepartment of Mathematics, Faculty of Sciences, University of Mohaghegh Ardabili, 56199-11367,Ardabil, Iran.Journal Article20210831In 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.https://scma.maragheh.ac.ir/article_255113_a0da95f4b31cea5b0e9bfccf6fb19fe5.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580719420221001On Subclasses of Analytic Functions Associated with Miller-Ross-Type Poisson Distribution Series697925514610.22130/scma.2022.551474.1091ENBilalŞekerDepartment of Mathematics, Faculty of Science, Dicle University, Diyarbakir, Turkiye.SevtapSümer EkerDepartment of Mathematics, Faculty of Science, Dicle University, Diyarbakir, Turkiye.0000-0002-2573-0726BilalCekicDepartment of Mathematics, Faculty of Science, Dicle University, Diyarbakir, Turkiye.0000-0002-6408-0455Journal Article20220406The 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.https://scma.maragheh.ac.ir/article_255146_6364db43208b87bb7c3a0f98775acabf.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580719420221001On Deferred Statistical Convergence of Sequences in Neutrosophic Normed Spaces819625517810.22130/scma.2022.544537.1031ENShyamalDebnathDepartment of Mathematics, Tripura University (A Central University), Suryamaninagar-799022, Agartala, India.0000-0003-2804-6564SantonuDebnathDepartment of Mathematics, Tripura University (A Central University), Suryamaninagar-799022, Agartala, India.ChiranjibChoudhuryDepartment of Mathematics, Tripura University (A Central University), Suryamaninagar-799022, Agartala, India.Journal Article20211209In this paper, we introduce the notion of deferred statistical convergence in the neutrosophic normed spaces as an extension of statistical convergence, $\lambda$-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.https://scma.maragheh.ac.ir/article_255178_a3da41149a4a390d1aad88df2edd1453.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580719420221001Automatic Continuity of Almost $n$-Multiplicative Linear Functionals9710725518010.22130/scma.2022.549567.1065ENAbbasZivari-KazempourDepartment of Mathematics, Ayatollah Borujerdi University, Borujerd, Iran.Journal Article20220225We 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 $\varphi:A\longrightarrow \mathbb{C}$ is an almost $n$-Jordan homomorphism.https://scma.maragheh.ac.ir/article_255180_2caea4110a982112f722080ec32a3b3d.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580719420221001Convex and Starlike Functions Defined on the Subclass of the Class of the Univalent Functions $S$ with Order $2^{-r}$10911669665010.22130/scma.2022.541789.1010ENİsmetYıldızFaculty of Science and Arts, Department of Mathematics, Düzce University, Düzce, Turkey.OyaMertFaculty of Science and Arts, Department of Mathematics, Tekirdağ Namık Kemal University, Tekirdağ, Turkey.0000-0002-8791-3341AlaattinAkyarFaculty of Science and Arts, Department of Mathematics, Düzce University, Düzce, Turkey.Journal Article20211029In this paper, some conditions have been improved so that the function $g(z)$ is defined as $g(z)=1+\sum_{k\ge 2}^{\infty}a_{n+k}z^{n+k}$, 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 $2^{-r}$.https://scma.maragheh.ac.ir/article_696650_dcf8eb7e6811fa9ee0ae9935133f9794.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580719420221001Optimal Common Fixed Point Results in Complete Metric Spaces with w-distance11713269664910.22130/scma.2022.552739.1101ENAkramSafari-HafshejaniDepartment of Pure Mathematics, Payame Noor University (PNU), P. O. Box: 19395-3697, Tehran, Iran.0000-0002-5955-2470Journal Article20220427In 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 Rako\v{c}evi\'{c} 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 w$_0$-distance. In this way, we get new existence results for non-cyclic quasi-contraction mappings of the Fisher type.https://scma.maragheh.ac.ir/article_696649_0840dbe568580b0f0953dbbe5b7a44f3.pdfUniversity of MaraghehSahand Communications in Mathematical Analysis2322-580719420221001On Some Properties of Log-Harmonic Functions Product13314769673010.22130/scma.2022.554936.1121ENMehriAlizadehDepartment of Mathematics, Faculty of Science, PNU University, P.O.BOX 19395-4697, Tehran, Iran.RasoulAghalaryDepartment of Mathematics, Faculty of Science, Urmia University, Urmia, Iran.AliEbadianDepartment of Mathematics, Faculty of Science, Urmia University, Urmia, Iran.Journal Article20220531In this paper we define a new subclass $S_{LH}(k, \gamma; \varphi)$ 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 $\beta$ such that $f\in S_{LH}(k, \gamma; \varphi)$ leads to $F(z)=f(z)|f(z)|^{2\beta}\in S_{LH}(k, \gamma, \varphi)$. Our results generalize the analogues of the earlier works in the combinations of harmonic functions.https://scma.maragheh.ac.ir/article_696730_4a7b7f85d03691ff0c0c19b7873399e4.pdf