University of MaraghehSahand Communications in Mathematical Analysis2322-580706120170401$r$-fuzzy regular semi open sets in smooth topological spaces1172208010.22130/scma.2017.22080ENAppachi VadivelDepartment of Mathematics, Annamalai University, Annamalai Nagar-608002, Tamil Nadu, India.Elangovan ElavarasanDepartment of Mathematics, Annamalai University, Annamalai Nagar-608002, Tamil Nadu, India.Journal Article20160514In this paper, we introduce and study the concept of $r$-fuzzy regular semi open (closed) sets in smooth topological spaces. By using $r$-fuzzy regular semi open (closed) sets, we define a new fuzzy closure operator namely $r$-fuzzy regular semi interior (closure) operator. Also, we introduce fuzzy regular semi continuous and fuzzy regular semi irresolute mappings. Moreover, we investigate the relationship among fuzzy regular semi continuous and fuzzy regular semi irresolute mappings. Finally, we have given some counter examples to show that these types of mappings are not equivalent.University of MaraghehSahand Communications in Mathematical Analysis2322-580706120170401Dynamic equivalence relation on the fuzzy measure algebras19282201510.22130/scma.2017.22015ENRoya GhasemkhaniDepartment of Mathematics, Faculty of Science, University of Jiroft, Jiroft, Iran.Uosef MohammadiDepartment of Mathematics, Faculty of Science, University of Jiroft, Jiroft, Iran.Journal Article20160424The main goal of the present paper is to extend classical results from the measure theory and dynamical systems to the fuzzy subset setting. In this paper, the notion of dynamic equivalence relation is introduced and then it is proved that this relation is an equivalence relation. Also, a new metric on the collection of all equivalence classes is introduced and it is proved that this metric is complete.University of MaraghehSahand Communications in Mathematical Analysis2322-580706120170401Fuzzy weakly $e$-closed functions29372364910.22130/scma.2017.23649ENVeerappan ChandrasekarDepartment of Mathematics, Kandaswami Kandar's College, P-velur, Tamil Nadu-638 182, India.Somasundaram ParimalaResearch Scholar (Part Time), Department of Mathematics, Kandaswami Kandar's College, P-velur, Tamil Nadu-638 182, India.Journal Article20161007In this paper, we introduce and characterize fuzzy wea-kly $e$-closed functions in fuzzy topological spaces and the relationship between these mappings and some properties of them are investigated.University of MaraghehSahand Communications in Mathematical Analysis2322-580706120170401Fixed point results in cone metric spaces endowed with a graph39472316310.22130/scma.2017.23163ENKamal FallahiDepartment of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.0000-0003-3400-4424Ghasem Soleimani RadDepartment of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran.0000-0002-0758-2758Journal Article20161121In this paper, we prove the existence of fixed point for Chatterjea type mappings under $c$-distance in cone metric spaces endowed with a graph. The main results extend, generalized and unified some fixed point theorems on $c$-distance in metric and cone metric spaces.University of MaraghehSahand Communications in Mathematical Analysis2322-580706120170401Approximation of fixed points for a continuous representation of nonexpansive mappings in Hilbert spaces49682298810.22130/scma.2017.22988ENEbrahim SooriDepartment of Mathematics, Lorestan University, P.O. Box 465, Khoramabad, Lorestan, Iran.Journal Article20160614This paper introduces an implicit scheme for a continuous representation of nonexpansive mappings on a closed convex subset of a Hilbert space with respect to a sequence of invariant means defined on an appropriate space of bounded, continuous real valued functions of the semigroup. The main result is to prove the strong convergence of the proposed implicit scheme to the unique solution of the variational inequality on the solution of systems of equilibrium problems and the common fixed points of a sequence of nonexpansive mappings and a continuous representation of nonexpansive mappings.University of MaraghehSahand Communications in Mathematical Analysis2322-580706120170401The analytical solutions for Volterra integro-differential equations within Local fractional operators by Yang-Laplace transform69762368610.22130/scma.2017.23686ENHassan Kamil JassimDepartment of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq.Journal Article20160325In this paper, we apply the local fractional Laplace transform method (or Yang-Laplace transform) on Volterra integro-differential equations of the second kind within the local fractional integral operators to obtain the analytical approximate solutions. The iteration procedure is based on local fractional derivative operators. This approach provides us with a convenient way to find a solution with less computation as compared with local fractional variational iteration method. Some illustrative examples are discussed. The results show that the methodology is very efficient and a simple tool for solving integral equations.University of MaraghehSahand Communications in Mathematical Analysis2322-580706120170401A generalization of Kannan and Chatterjea fixed point theorems on complete $b$-metric spaces77862383110.22130/scma.2017.23831ENHamid FarajiDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran.Kourosh NourouziFaculty of Mathematics, K. N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran.Journal Article20161123In this paper, we give some results on the common fixed point of self-mappings defined on complete $b$-metric spaces. Our results generalize Kannan and Chatterjea fixed point theorems on complete $b$-metric spaces. In particular, we show that two self-mappings satisfying a contraction type inequality have a unique common fixed point. We also give some examples to illustrate the given results.