Research articles (Dept of Mathematics)
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On the Riesz representation theorem and integral operators
(NISC (Pty) Ltd, http://www.nisc.co.za/, 20151214)We present a Riesz representation theorem in the setting of extended integration theory as introduced in [6]. The result is used to obtain boundedness theorems for integral operators in the more general setting of spaces ... 
Fundamental Theorem of Calculus in Topological Vector Spaces
(Journal of Mathematics Extension, 201710)We extend the notions of integration and differentiation to cover the class of functions taking values in topological vector spaces. We give versions of the LebesgueNikodym Theorem and the Fundamental Theorem of Calculus ... 
On cartesian nets and fubinitonelli type theorem
(International Journal of Applied Physics and Mathematics, http://www.ijapm.org/, 201704)The notion of Cartesian net is introduced in order to provide an appropriate setting for the notion of double limit for directed functions defined on Cartesian products of spaces. As an application, we obtain extensions ... 
On size function topology and fixed point theorems
(International Scientific Publications and Consulting Services, http://www.ispacs.com/about.php, 201706)In this paper, we introduce and study a metriclike (nonnecessarily metric) topology that is weaker than the original topology of a given topological space. The results are used to provide more useful and more general ... 
Unconditional integrability with application to ergodic theorem
(ScienceDomain International, http://www.sciencedomain.org/, 20170807)We present a straightforward introduction to the unconditional integrability in the extended sense. We state and proof useful necessary and sufficient conditions for unconditional integrability of complex or real valued ... 
Chemical reaction and Hall effects on viscoelastic fluid flow past an inclined moving plate in the presence of heat generation/absorption
(ESRSA Publications Pvt. Ltd., https://www.ijert.org/, 2016)The present work analyzes the Hall and Chemical reaction effects on two dimensional MHD flow of a Viscoelastic fluid past an inclined moving plate by taking double diffusive convection in the presence of Heat generation. ... 
Hydromagnetic free convective radiating flow of chemically reacting fluid through porous medium over a vertical surface in the presence of heat absorption
(Associated Asia Research Foundation (AARF), http://aarf.asia/irjmeit.php, 2016)This paper discusses the analysis of first order homogeneous chemical reaction and heat source on MHD flow with heat and mass transfer characteristics of an incompressible, viscous, electrically conducting and Newtonian ... 
Diffusion thermo effects on MHD convective flow past a semiinfinite vertical moving plate embedded in a porous medium in the presence of chemical reaction, radiation and heat source
(Scholarlink Research Institute, http://jeteas.scholarlinkresearch.com/, 2016)The study of MHD flow in a porous medium is receiving worldwide attention because of its numerous applications in cooling of electronic systems, chemical catalytic reactors and thermal insulating engineering etc. The ... 
On the subspace problem for Quasinormed spaces
(ScienceDomain International; www.sciencedomain.org, 20160702)A definitive positive answer to the socalled proper subspace problem (a.k.a. the atomic space problem) for quasinormed spaces is given: every infinite dimensional quasinormed space has a proper closed infinitedimensional ... 
Extensions of the Lusin's Theorem, the SeveriniEgorov's Theorem and the Riesz Subsequence Theorems
(ScienceDomain International; www.sciencedomain.org, 20161014)We give extensions of the Lusin’s Theorem, the SeveriniEgorov’s Theorem, and the Riesz Subsequence Theorems to the setting of a nonadditive vector valued set functions and sequences of functions taking values in general ... 
On natural characterizations of tensor integrability
(Science Domain International, http://www.sciencedomain.org/, 20150504)We revisit the deﬁnition of the tensor integrability introduced in [1], and prove some useful characterizations that provide a foundation for studying relevant properties to the integration theory. As applications, we ... 
On nonmetric covering lemmas and extended Lebesguedifferentiation theorem
(Science Domain International;http://www.sciencedomain.org, 20150328)We give a nonmetric version of the Besicovitch Covering Lemma and an extension of the LebesgueDifferentiation Theorem into the setting of the integration theory of vector valued functions. 
On summable bases in Banach spaces
(Science Domian International, www.sciencedomain.org, 20140624)We introduce the notion of summable bases that naturally generalizes the notion of unconditional sequence bases for Banach spaces. We shall be particularly interested in some classical results on sequences and series in ... 
A new general approach to vector valued stochastic integration
(International Journal of Modeling and Optimization, www.ijmo.org, 201408)We use an extended theory of integral that generalizes the integration of vector valued functions with respect to nonnegative, monotonic,countably subadditive set functions, in order to introduce a new approach to stochastic ... 
On the OrliczPettis theorem for integrals
(Pushpa Publishing House, www.pphmj.com, 201010)In this note, we propose a more efficient approach to the definition of the integral of Banachvalued functions that enables us to give an improved version of the OrliczPettis theorem for integrals. 
Exponential polynomials on commutative hypergroups
(Springer, www.springer.com, 2013)Polynomials and exponential polynomials play a fundamental role in the theory of spectral analysis and spectral synthesis on commutative groups. Recently several new results have been published in this field. Spectral ... 
The LeviCivitá equation, vector modules and spectral synthesis
(Banach Center Polish Academy of Sciences, 2013)The purpose of this paper is to give a survey on some recent results concerning spectral analysis and spectral synthesis in the framework of vector modules and in close connection with the LeviCivita functional equation. ... 
Unified approach to vector valued integration
(Pushpa Publishing House, www.pphmj.com, 201306)We introduce a natural and more flexible approach to the definition of vector valued integral that will completely forgo any measurability assumption, strengthen the existing various classical concepts of ... 
More on equivalence properties of RadonNikodym property types and Complete Continuity property types
(Pushpa Publishing House, www.pphmj.com, 201301)We study the equivalence property of the I and IILRadonNikodým property (resp. I and IILcomplete continuity property) types of Banach spaces. As a byproduct, we obtain a proof of the following: F. LustPicard’s ... 
A concise approach to real analysis
(Lulu, www.lulu.com, 20141007)