Communications in Nonlinear AnalysisCommunications in Nonlinear Analysis
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Mon, 19 Aug 2019 01:30:48 +0100FeedCreatorCommunications in Nonlinear Analysis
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Feed provided by Communications in Nonlinear Analysis. Click to visit.Optimal Coincidence Best Approximation Solution in b-fuzzy Metric Spaces
http://www.cna-journal.com/article_90157_11951.html
In this paper, we prove the existence of optimal coincidence point and best proximity point in b-fuzzymetric space for two mappings satisfying certain contractive conditions and prove some proximal theoremswhich provide the existence of an optimal approximate solution to some operator equations which are notsolvable. We also provide an application to the fixed point theory of our obtained results.Sun, 30 Jun 2019 19:30:00 +0100A Predictor-Corrector Method for Fractional Delay-Differential System with Multiple Lags
http://www.cna-journal.com/article_91820_0.html
The 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.Wed, 07 Aug 2019 19:30:00 +0100A Note on the Solutions of a Sturm-Liouville Differential Inclusion with "Maxima"
http://www.cna-journal.com/article_90144_11951.html
We 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.Sun, 30 Jun 2019 19:30:00 +0100Stancu Type of Cheney and Sharma Operators of Pascal Rough Triple Sequences
http://www.cna-journal.com/article_91865_0.html
In 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.Thu, 08 Aug 2019 19:30:00 +0100Some Notes on the Paper [Further Discussion on Modiﬁed Multivalued α_*-Ψ-Contractive Type ...
http://www.cna-journal.com/article_90789_11951.html
In this paper, we show that the claim of the paper [Ali et al., Further discussion on modified multivaluedα_*-Ψ-contractive type mappings, Filomat 29 (2015)] which says that the notion of α_*-η-Ψ-contractive multivaluedmappings can not be reduced into α_*-Ψ-contractive multi-valued mappings, is not true. Also, weprovide a common fixed point result for an α_*-admissible countable family of multi-valued mappings. Finally,we show that the common fixed point result of Ali et al. for a countable family of multi-valued mappingsusing α_*-admissible mappings with respect to η can be reduced to α_*-admissible mappings without usingthe auxiliary function].Sun, 30 Jun 2019 19:30:00 +0100Fixed Point Theorems for Dislocated Quasi G -Fuzzy Metric Spaces
http://www.cna-journal.com/article_91149_11951.html
The aim of this paper is to introduce the new concept of ordered complete dislocated quasi G-fuzzy metricspace. The notion of dominated mappings is applied to approximate the unique solution of nonlinearfunctional equations. In this paper, we nd the fixed point results for mappings satisfying the locallycontractive conditions on a closed ball in an ordered complete dislocated quasi G-fuzzy metric space.Sun, 30 Jun 2019 19:30:00 +0100On the Zeros of the Polar Derivative of a Polynomial
http://www.cna-journal.com/article_90790_11951.html
Let P(z) be a polynomial of degree n whose coefficients satisfy an ≥ an−1 ≥ ... ≥ a0 > 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.Sun, 30 Jun 2019 19:30:00 +0100Fixed Points of Almost Geraghty Contraction Type Maps/Generalized Contraction Maps With ...
http://www.cna-journal.com/article_90837_11951.html
In this paper, we introduce almost Geraghty contraction type maps for a single self map andprove the existence and uniqueness of ﬁxed points. We extend it to a pair of selfmaps by deﬁningalmost Geraghty contraction type pair of maps in which one of the maps is b-continuous in acomplete b-metric space. Further, we prove the existence of common ﬁxed points for a pair ofselfmaps satisfying a generalized contraction condition with rational expression in which one ofthe maps is b-continuous. Our results extend and generalize some of the known results that areavailable in the literature. We draw some corollaries from our results and provide examples insupport of our results.Sun, 30 Jun 2019 19:30:00 +0100Exact Solutions of Singular IVPs Lane-Emden Equation
http://www.cna-journal.com/article_91013_11951.html
In 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,we present real exact solutions for m ∈ (3,∞) and complex m ∈ (−∞,3){1}. Some illustratedexamples presented as well.Sun, 30 Jun 2019 19:30:00 +0100