Zanco PublishingCommunications in Nonlinear Analysis2371-79206120190801Optimal Coincidence Best Approximation Solution in b-fuzzy Metric Spaces11290157ENMujahidAbbasDepartment of Mathematics, Government College University,Lahore 54000, Pakistan.N.SaleemDepartment of Mathematics, University of Management and Technology, Lahore, PakistanK.SohailDepartment of Mathematics, Government College University,Lahore 54000, Pakistan.Journal Article20190708In this paper, we prove the existence of optimal coincidence point and best proximity point in b-fuzzy<br />metric space for two mappings satisfying certain contractive conditions and prove some proximal theorems<br />which provide the existence of an optimal approximate solution to some operator equations which are not<br />solvable. We also provide an application to the fixed point theory of our obtained results.http://www.cna-journal.com/article_90157_d4eeb16c7dc4c6f09c0f49ea79a9cfdd.pdfZanco PublishingCommunications in Nonlinear Analysis2371-79206120190801A Note on the Solutions of a Sturm-Liouville Differential Inclusion with "Maxima"131790144ENAurelianCernea1-Faculty of Mathematics and Informatics, University of Bucharest, Academiei 14, 010014 Bucharest, Romania.
2-Academy of Romanian Scientists, Splaiul Independentei 54, 050094 Bucharest, Romania.Journal Article20190707We consider a boundary value problem associated with a Sturm-Liouville differential inclusion with "maxima" and we prove a Filippov type existence result for this problem.http://www.cna-journal.com/article_90144_c6789a95ea27650406b9228a0ae98f04.pdfZanco PublishingCommunications in Nonlinear Analysis2371-79206120190801Some Notes on the Paper [Further Discussion on Modiﬁed Multivalued α_*-Ψ-Contractive Type Mappings]182290789ENBabakMohammadiDepartment of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran.VahidParvanehDepartment of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, IranJournal Article20190715In this paper, we show that the claim of the paper [Ali et al., Further discussion on modified multivalued<br />α_*-Ψ-contractive type mappings, Filomat 29 (2015)] which says that the notion of α_*-η-Ψ-contractive multivalued<br />mappings can not be reduced into α_*-Ψ-contractive multi-valued mappings, is not true. Also, we<br />provide a common fixed point result for an α_*-admissible countable family of multi-valued mappings. Finally,<br />we show that the common fixed point result of Ali et al. for a countable family of multi-valued mappings<br />using α_*-admissible mappings with respect to η can be reduced to α_*-admissible mappings without using<br />the auxiliary function].http://www.cna-journal.com/article_90789_b91f575deadb2b4446efa86f0087a08b.pdfZanco PublishingCommunications in Nonlinear Analysis2371-79206120190801Fixed Point Theorems for Dislocated Quasi G -Fuzzy Metric Spaces233191149ENM.JeyaramanP.G and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivaganga - 630561, Tamil Nadu,
India.D.PoovaragavanDepartment of Mathematics , Govt. Arts College For Women, Sivagangai, India.S.SowndrarajanP.G and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivaganga - 630561, Tamil Nadu,
India.SaurabhManroDepartment of Mathematics, Thapar University, Patiala, Punjab, India.Journal Article20190724The aim of this paper is to introduce the new concept of ordered complete dislocated quasi G-fuzzy metric<br />space. The notion of dominated mappings is applied to approximate the unique solution of nonlinear<br />functional equations. In this paper, we nd the fixed point results for mappings satisfying the locally<br />contractive conditions on a closed ball in an ordered complete dislocated quasi G-fuzzy metric space.http://www.cna-journal.com/article_91149_ef88adbfe174cd801e02f9a63a99c3d2.pdfZanco PublishingCommunications in Nonlinear Analysis2371-79206120190801On the Zeros of the Polar Derivative of a Polynomial323990790ENM.GulzarDepartment of Mathematics, University of Kashmir, Srinagar 190006, Jammu & Kashmir, IndiaB.ZargarDepartment of Mathematics, University of Kashmir, Srinagar 190006, Jammu & Kashmir, IndiaR.AkhterDepartment of Mathematics, University of Kashmir, Srinagar 190006, Jammu & Kashmir, IndiaJournal Article20190715Let P(z) be a polynomial of degree n whose coefficients satisfy a<sub>n</sub> ≥ a<sub>n−1</sub> ≥ ... ≥ a<sub>0</sub> > 0.Then according to the Enstrom-Kakeya Theorem, all the zeros of P(z) lie in |z|≤ 1. Aziz and Mohammad have shown that under the same condition on coeﬃents the zeros of P(z) whose modulus is greater than or equal to n/(n+1) are simple. In this paper, we extend the above result to the polar derivative.http://www.cna-journal.com/article_90790_2852e2deafb164d3d3a16c46e2963ff7.pdfZanco PublishingCommunications in Nonlinear Analysis2371-79206120190801Fixed Points of Almost Geraghty Contraction Type Maps/Generalized Contraction Maps With Rational Expressions in b-Metric Spaces405990837ENGutti VenkataRavindranadh BabuDepartment of Mathematics, Andhra University, Visakhapatnam-530 003, IndiaDasariRatna BabuDepartment of Mathematics, Andhra University, Visakhapatnam-530 003, IndiaJournal Article20190717In this paper, we introduce almost Geraghty contraction type maps for a single self map and<br />prove the existence and uniqueness of ﬁxed points. We extend it to a pair of selfmaps by deﬁning<br />almost Geraghty contraction type pair of maps in which one of the maps is b-continuous in a<br />complete b-metric space. Further, we prove the existence of common ﬁxed points for a pair of<br />selfmaps satisfying a generalized contraction condition with rational expression in which one of<br />the maps is b-continuous. Our results extend and generalize some of the known results that are<br />available in the literature. We draw some corollaries from our results and provide examples in<br />support of our results.http://www.cna-journal.com/article_90837_4d620fc22ac1fe3638819584c29e5049.pdfZanco PublishingCommunications in Nonlinear Analysis2371-79206120190801Exact Solutions of Singular IVPs Lane-Emden Equation606391013ENMehdiAsadiDepartment of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran0000-0003-2170-9919Journal Article20190220In the paper, [A.M. Rismani, H. Monfared, Numerical solution of singular ivps of laneemden type using a modified Legendre spectral method. Applied Mathematical Modelling, 36 (2012), 4830-4836.], the authors state that exact solutions for the Lane-Emden nonlinear differential equation exist only for m = 0,1 (linear cases) and 5 (nonlinear case). While here,<br />we present real exact solutions for m ∈ (3,∞) and complex m ∈ (−∞,3){1}. Some illustrated<br />examples presented as well.http://www.cna-journal.com/article_91013_504b40743791b056bb2ca2a886eb0305.pdfZanco PublishingCommunications in Nonlinear Analysis2371-79206120190801Stancu Type of Cheney and Sharma Operators of Pascal Rough Triple Sequences647791865ENNagarajanSubramanianDepartment of Mathematics, Sastra University, IndiaAyhanEsiDepartment of Mathematics, Adiyaman University, 02040, Adiyaman, Turkey.A.IndumathiDepartment of Mathematics, Sastra University, IndiaJournal Article20190705In this paper, we introduce a Stancu type extension of the well known Cheney and Sharma operators and also devoted to the definition of new rough statistical convergence with Pascal Fibonacci binomial matrix is given and some general properties of rough statistical convergence are examined. Furthermore, approximation theory worked as a rate of the rough statistical convergence of Stancu type of Cheney and Sharma operators.http://www.cna-journal.com/article_91865_a156bca8d0f0b25a1e2207993ba69172.pdfZanco PublishingCommunications in Nonlinear Analysis2371-79206120190801A Predictor-Corrector Method for Fractional Delay-Differential System with Multiple Lags788891820ENSalemAbdelmalekDepartment of mathematics, University of Tebessa 12002 Algeria.0000-0001-9762-9654RedouaneDouaifiaLaboratory of Mathematics, Informatics and Systems (LAMIS), Larbi Tebessi University – TebessaJournal Article20190703The purpose of this work is to present numerical solutions of variable-order fractional delay differential equations with multiple lags based on the Adams-Bashforth-Moulton method, where the derivative is defined in the Caputo variable-order fractional sense. Since the variable-order fractional derivatives contain classical and fractional derivatives as special cases and also single delay is a special case of multiple delays, several results of references are significantly generalized. The error analysis for this method is given and the effectiveness of the algorithm is highlighted with numerical examples.http://www.cna-journal.com/article_91820_d0b302b5e7fb81cc1bb69b5a1013e558.pdfZanco PublishingCommunications in Nonlinear Analysis2371-79206120190801A Relation Theoretic Approach for φ-Fixed Point Result in Metric Space with an Application to an Integral Equation899592724END.GopalDepartment of Applied Mathematics & Humanities, S. V. National Institute of Technology, Surat-395007, Gujarat, IndiaL. M.BudhiaDepartment of Applied Mathematics & Humanities, S. V. National Institute of Technology, Surat-395007, Gujarat, IndiaS.JainPoornima College of Engineering, Jaipur-302022, Rajasthan, IndiaJournal Article20190902In this paper, we prove the existence and uniqueness of φ-fixed point for (F,φ,θ)-contraction mapping in a complete metric space with a binary relation. Here the contractive condition is required to hold only for<br />those elements that are related under the binary relation and not for the whole space. An application is<br />given to show the φusability of our result obtained.http://www.cna-journal.com/article_92724_28595b97775bc3a6c408337c944d3dda.pdf