Zanco PublishingCommunications in Nonlinear Analysis2371-79209120201201Some results for uniformly Lipchizian mappings in convex modular spaces117108427ENAdewale OlusolaKayodeDepartment of Mathematics, University of LagosJournal Article20200418In this paper, we introduce the concept of generalized uniformly L-Lipchizian mappings with constant $u$ and a strong convergence theorem for a pair of generalized uniformly L-Lipchizian mappings in convex modular spaces. Our work generalizes and extends a good number of results in this area of research.Zanco PublishingCommunications in Nonlinear Analysis2371-79209120201201A large averaging modified implicit iterative scheme with errors for finite family of asymtotically φ-demicontractive mappings120109481ENAustine E.OfemDepartment of Mathematics, University of Uyo, Uyo, Nigeria0000-0001-8064-2326DonatusIgbokweDepartment of Mathematics, Michael Okpara University of Agriculture, University of Agriculture, Umidke, NigeriaJournal Article20200605In this paper, a three-step implicit iteration process with errors is introduced and we prove strong convergence theorem of the new iterative scheme with some mild conditions on the real sequences to a common fixed point of finite family of asymptotically φ-demicontractive mappings defined on a closed convex subset of a Banach space. The new iterative scheme includes several well known explicit and implicit iterative schemes. The results in this paper generalize several strong convergence results in the literature.Zanco PublishingCommunications in Nonlinear Analysis2371-79209120201201New Iteration Algorithms for Finite Family of Two Quasi-nonexpansive Mappings Satisfying Jointly Demiclosedness Principle in Banach Spaces118110883ENImo KaluAgwuMichael Okpara University of Agriculture, Umudike, Umuahia0000-0003-4535-1974Journal Article20200624In this paper, we propose and study two iteration schemes (modified Halpern's type and HS-iteration schemes). Furthermore, it is proved that if two finite families of quasi-nonexpansive mappings satisfy jointly demiclosedness principle, then under appropriate conditions on the iteration parameters, the schemes so introduced strongly converge to the common fixed points of the mappings. Our main results improve and generalize the results in [1] and many other existing results currently in literature.Zanco PublishingCommunications in Nonlinear Analysis2371-79209120201201STUDY A SEMI-LINEAR PSEUDO-PARABOLIC PROBLEM WITH NEUMANN AND INTEGRAL CONDITIONS BY USING GALERKIN MIXED FINITE ELEMENT METHOD120112711ENTAKI EDDINEOUSSAEIFUNIUVERSITY OUM EL BOUAGHISIHEMBENAMIRAUniversity Mentouri Constantine 1. AlgeriaJournal Article20200718In this paper, we establish sufficient conditions for the the existence, uniqueness, and continuous dependence of generalized solution of a semi-linear pseudo-parabolic problem with Neumann condition and integral boundary condition of first type. The results are by the application of the method based on a priori estimate "energy inequality" and the finite element method based on the Faedo-Galerkin technique.Zanco PublishingCommunications in Nonlinear Analysis2371-79209120201201Some Ostrowski type inequalities for functions whose modulus of the first derivatives are log-preinvex via k-Riemann-Liouville fractional integrals115112712ENBadreddineMeftahLaboratoire des t&eacute;l&eacute;communications, Facult&eacute; des sciences et de la technologie, Universit&eacute; 8 mai 1945 GuelmaSafaBouchehedDepartment of Mathematics, Faculty of Mathematics, Computer and
Material Sciences, University 8 mai 1945 Guelma, Algeria.HalaDjebablaDepartment of Mathematics, Faculty of Mathematics, Computer and
Material Sciences, University 8 mai 1945 Guelma, Algeria.Journal Article20200519In this paper, we establish a new identity integral, then we derive some Ostrowski's inequalities for functions whose modulus of the first derivatives are log-preinvex via k-Riemann-Liouville fractional<br />integral.Zanco PublishingCommunications in Nonlinear Analysis2371-79209120201201Qualitative Theory and Numerical Simulation of SIRC Model Corresponding to Nonlocal Fractional Order derivative120112713ENAmjadAliGovt Post Graduate Jahanzeb College Saidu Sharif Swat, KP, PakistanMuhammad YasinKhanDepartment of Mathematics Islamia college peshawaerGoharAliDepartment of Mathematics Islamia college peshawer, kp, pakistanJournal Article20200710In this article, the existence theory and numerical solutions for fractional order SIRC model via nonlocal fractional order derivative are developed. Using the tools of analysis, the conditions for the existence and stability of the proposed model are established. With the help of Laplace Adomain Decomposition method, we obtain the approximate solutions for the underlying model. In the last part, using Matlab, we plotted various graphs to discuss the proposed model for different fractional order values of $xi$.Zanco PublishingCommunications in Nonlinear Analysis2371-79209120201201Periodic and fixed points of the Leader-type contractions in quasi-triangular spaces]{Periodic and fixed points of the Leader-type contractions in quasi-triangular spaces116118111ENSaurabhManroANIMESHGuptaDepartment of Mathematics, Sagar Institute of Engineering, Technology and Research, Ratibad Bhopal (M.P.), IndiaTejwantSinghDepartment of Mathematics, Desh Bhagat University, Mandi Gobindgarh, Punjab, IndiaRajvirKaurDesh Bhagat universityJournal Article20191030Let (C={C_{alpha}}_{alphainmathcal{A}}in[1;infty)^{mathcal{A}}) with index set (mathcal{A}). A quasi-triangular space ((X,mathcal{P}_{C;mathcal{A}})) is a set X with family (mathcal{P}_{C;mathcal{A}}={p_{alpha}:X^{2}rightarrow[0,infty),alpha in mathcal{A}}) satisfying (forall_{alphainmathcal{A}}forall _{u,v,win X}{p_{alpha}(u,w)leq C_{alpha}[p_{alpha }(u,v)+p_{alpha }(v,w)]}). In ((X,mathcal{P}_{C;mathcal{A}})), using the left (right) families (mathcal{J}_{C;mathcal{A}}) generated by (mathcal {P}_{C;mathcal{A}}) ((mathcal{P}_{C;mathcal{A}}) is a particular case of (mathcal {J}_{C;mathcal{A}})), we establish theorems concerning left (right) (mathcal {P}_{C;mathcal{A}})-convergence, existence, periodic point, fixed point, and (when((X,mathcal{P}_{C;mathcal{A}})) is separable) uniqueness for (mathcal{J}_{C;mathcal{A}})-contractions and weak (mathcal {J}_{C;mathcal{A}})-contractions (T:Xrightarrow X) satisfying <br /> begin{eqnarray*}begin{aligned}<br /> & forall_{x,yin X}forall _{alphainmathcal{A}}forall_{varepsilon>0}exists_{eta >0}exists _{rinmathbb{N}}forall_{s,linmathbb{N}} {J_{alpha }(T^{[s]}(x),T^{[s+r]}(x)) + J_{alpha }(T^{[l]}(y),T^{[l+r]}(y)) < eta+varepsilon \ & Rightarrow C_{alpha }J_{alpha}(T^{[s+r]}(x),T^{[l+r]}(y))<varepsilon}<br /> end{aligned}end{eqnarray*}<br /> and <br /> begin{eqnarray*}begin{aligned}<br /> & exists _{w^{0}in X}forall_{alphainmathcal{A}}forall_{varepsilon >0}exists_{eta>0}exists_{rinmathbb{N}} forall_{s,lin mathbb{N}} {J_{alpha}(T^{[s+r]}(w^{0}), T^{[s]}(w^{0}))+J_{alpha}(T^{[l]}(w^{0}), T^{[l+r]}(w^{0}))<eta+varepsilon \ & Rightarrow C_{alpha}J_{alpha }(T^{[s+r]}(w^{0}),T^{[l+r]}(w^{0}))<varepsilon},<br /> end{aligned} end{eqnarray*} <br /> respectively. The spaces ((X,mathcal{P}_{C;mathcal{A}})), in particular, generalize metric, ultrametric, quasi-metric, ultra-quasi-metric, b-metric, partial metric, partial b-metric, pseudometric, quasi-pseudometric, ultra-quasi-pseudometric, partial quasi-pseudometric, topological, uniform, quasi-uniform, gauge, ultra gauge, partial gauge, quasi-gauge, ultra-quasi-gauge, and partial quasi-gauge spaces. Results are new in all these spaces. Examples are provided.Zanco PublishingCommunications in Nonlinear Analysis2371-79209120201201Approximating endpoints of multi-valued generalized $alpha$-nonexpansive mappings in Banach spaces118118113ENJunaidAhmadDepartment of Mathematics, Uuniversity of Science and Technology,Bannu 28100, Khyber Pakhtunkhwa, PakistanKifayatUllahDepartment of Mathematics, University of Science and Technology, Bannu 28100, Khyber Pakhtunkhwa, PakistanMuhammad Safi UllahKhanDepartment of Mathematics, University of Science and Technology, Bannu 28100, Khyber Pakhtunkhwa, PakistanNaseerMuhammadDepartment of Mathematics, University of Science and Technology, Bannu 28100, Khyber Pakhtunkhwa, PakistanJournal Article20200429In this paper, we study endpoints of multi-valued generalized $alpha$-nonexpansive mappings in Banach spaces. Under some appropriate assumptions, we prove that the sequence of modified Agarwal-O'Rega-Sahu iterative process defined by Abdeljawad et al. (2020) converges strongly to an endpoint of a multi-valued generalized $alpha$-nonexpansive mappings. We also give an illustrate example. Our results are new and extend the corresponding results of the current literature.Zanco PublishingCommunications in Nonlinear Analysis2371-79209120201201LOCATION OF ZEROS OF POLYNOMIALS119118114ENRamuluPurraDepartment of Mathematics, M.V.S Govt. Arts and Science
College(Autonomous), Mahabubnagar, Telangana, IndiaJournal Article20200409In this paper we consider the problem of finding the estima-<br />tion of maximum number of zeros in a prescribed region and the results<br />which we obtain generalize and improve upon some well known results.Zanco PublishingCommunications in Nonlinear Analysis2371-79209120201201Analytical Solution Of Fractional Order SIR Model Via Laplace Adomian Decomposition Method110882ENAmjadAliGovt Post Graduate Jahanzeb College Saidu Sharif Swat, KP, PakistanMuradKhanGovt P.G Jahanzeb College Saidu Sharif Swat,KP, PakistanRahmatAli KhanMalakand University Chakdara, KP, PakistanJournal Article20200518In this article, we developed the scheme for approximate solutions of fractional order SIR model of infectious diseases. We obtain desert results in the form of infinite series with the Adomian decomposition method coupled with Laplace transform. In the last section of this work, we provide the numerical discussion for the proposed model and plots those results for illustrative purposes via Matlab.