Optimal Coincidence Best Approximation Solution in b-fuzzy Metric Spaces
Mujahid
Abbas
Department of Mathematics, Government College University,Lahore 54000, Pakistan.
author
N.
Saleem
Department of Mathematics, University of Management and Technology, Lahore, Pakistan
author
K.
Sohail
Department of Mathematics, Government College University,Lahore 54000, Pakistan.
author
text
article
2019
eng
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.
Communications in Nonlinear Analysis
Zanco Publishing (Canada)
2371-7920
6
v.
1
no.
2019
1
12
http://www.cna-journal.com/article_90157_d4eeb16c7dc4c6f09c0f49ea79a9cfdd.pdf
A Note on the Solutions of a Sturm-Liouville Differential Inclusion with "Maxima"
Aurelian
Cernea
1-Faculty of Mathematics and Informatics, University of Bucharest, Academiei 14, 010014 Bucharest, Romania.
2-Academy of Romanian Scientists, Splaiul Independentei 54, 050094 Bucharest, Romania.
author
text
article
2019
eng
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.
Communications in Nonlinear Analysis
Zanco Publishing (Canada)
2371-7920
6
v.
1
no.
2019
13
17
http://www.cna-journal.com/article_90144_c6789a95ea27650406b9228a0ae98f04.pdf
Some Notes on the Paper [Further Discussion on Modiﬁed Multivalued α_*-Ψ-Contractive Type Mappings]
Babak
Mohammadi
Department of Mathematics, Marand Branch, Islamic Azad University, Marand, Iran.
author
Vahid
Parvaneh
Department of Mathematics, Gilan-E-Gharb Branch, Islamic Azad University, Gilan-E-Gharb, Iran
author
text
article
2019
eng
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].
Communications in Nonlinear Analysis
Zanco Publishing (Canada)
2371-7920
6
v.
1
no.
2019
18
22
http://www.cna-journal.com/article_90789_b91f575deadb2b4446efa86f0087a08b.pdf
Fixed Point Theorems for Dislocated Quasi G -Fuzzy Metric Spaces
M.
Jeyaraman
P.G and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivaganga - 630561, Tamil Nadu,
India.
author
D.
Poovaragavan
Department of Mathematics , Govt. Arts College For Women, Sivagangai, India.
author
S.
Sowndrarajan
P.G and Research Department of Mathematics, Raja Doraisingam Govt. Arts College, Sivaganga - 630561, Tamil Nadu,
India.
author
Saurabh
Manro
Department of Mathematics, Thapar University, Patiala, Punjab, India.
author
text
article
2019
eng
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.
Communications in Nonlinear Analysis
Zanco Publishing (Canada)
2371-7920
6
v.
1
no.
2019
23
31
http://www.cna-journal.com/article_91149_ef88adbfe174cd801e02f9a63a99c3d2.pdf
On the Zeros of the Polar Derivative of a Polynomial
M.
Gulzar
Department of Mathematics, University of Kashmir, Srinagar 190006, Jammu & Kashmir, India
author
B.
Zargar
Department of Mathematics, University of Kashmir, Srinagar 190006, Jammu & Kashmir, India
author
R.
Akhter
Department of Mathematics, University of Kashmir, Srinagar 190006, Jammu & Kashmir, India
author
text
article
2019
eng
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.
Communications in Nonlinear Analysis
Zanco Publishing (Canada)
2371-7920
6
v.
1
no.
2019
32
39
http://www.cna-journal.com/article_90790_2852e2deafb164d3d3a16c46e2963ff7.pdf
Fixed Points of Almost Geraghty Contraction Type Maps/Generalized Contraction Maps With Rational Expressions in b-Metric Spaces
Gutti Venkata
Ravindranadh Babu
Department of Mathematics, Andhra University, Visakhapatnam-530 003, India
author
Dasari
Ratna Babu
Department of Mathematics, Andhra University, Visakhapatnam-530 003, India
author
text
article
2019
eng
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.
Communications in Nonlinear Analysis
Zanco Publishing (Canada)
2371-7920
6
v.
1
no.
2019
40
59
http://www.cna-journal.com/article_90837_4d620fc22ac1fe3638819584c29e5049.pdf
Exact Solutions of Singular IVPs Lane-Emden Equation
Mehdi
Asadi
Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran
author
text
article
2019
eng
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.
Communications in Nonlinear Analysis
Zanco Publishing (Canada)
2371-7920
6
v.
1
no.
2019
60
63
http://www.cna-journal.com/article_91013_504b40743791b056bb2ca2a886eb0305.pdf
Stancu Type of Cheney and Sharma Operators of Pascal Rough Triple Sequences
Nagarajan
Subramanian
Department of Mathematics, Sastra University, India
author
Ayhan
Esi
Department of Mathematics, Adiyaman University, 02040, Adiyaman, Turkey.
author
A.
Indumathi
Department of Mathematics, Sastra University, India
author
text
article
2019
eng
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.
Communications in Nonlinear Analysis
Zanco Publishing (Canada)
2371-7920
6
v.
1
no.
2019
64
77
http://www.cna-journal.com/article_91865_a156bca8d0f0b25a1e2207993ba69172.pdf
A Predictor-Corrector Method for Fractional Delay-Differential System with Multiple Lags
Salem
Abdelmalek
Department of mathematics, University of Tebessa 12002 Algeria.
author
Redouane
Douaifia
Laboratory of Mathematics, Informatics and Systems (LAMIS), Larbi Tebessi University – Tebessa
author
text
article
2019
eng
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.
Communications in Nonlinear Analysis
Zanco Publishing (Canada)
2371-7920
6
v.
1
no.
2019
78
88
http://www.cna-journal.com/article_91820_d0b302b5e7fb81cc1bb69b5a1013e558.pdf
A Relation Theoretic Approach for φ-Fixed Point Result in Metric Space with an Application to an Integral Equation
D.
Gopal
Department of Applied Mathematics & Humanities, S. V. National Institute of Technology, Surat-395007, Gujarat, India
author
L. M.
Budhia
Department of Applied Mathematics & Humanities, S. V. National Institute of Technology, Surat-395007, Gujarat, India
author
S.
Jain
Poornima College of Engineering, Jaipur-302022, Rajasthan, India
author
text
article
2019
eng
In 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 forthose elements that are related under the binary relation and not for the whole space. An application isgiven to show the φusability of our result obtained.
Communications in Nonlinear Analysis
Zanco Publishing (Canada)
2371-7920
6
v.
1
no.
2019
89
95
http://www.cna-journal.com/article_92724_28595b97775bc3a6c408337c944d3dda.pdf