eng
Zanco Publishing (Canada)
Communications in Nonlinear Analysis
2371-7920
2371-7920
2016-06-01
2
2
113
118
89537
Original Article
Coupled Fixed Point Theorem in Dislocated Quasi b-Metric Spaces
Mujeeb Ur Rahman
mujeeb846@yahoo.com
1
Muhammad Sarwar
sarwarswati@gmail.com
2
Department of Mathematics, Government PG Jahanzeb College Saidu Sharief Swat, Khyber PakhtunKhwa, Pakistan.
Department of Mathematics, University of Malakand, Dir(L), Khyber PakhtunKhwa, Pakistan.
In this paper, we dene the notion of a coupled coincidence fixed point and prove a coupled coincidence fixed<br />point theorem in dislocated quasi b-metric space. In order to validate our main result and its corollaries an<br />example is given
http://www.cna-journal.com/article_89537_4cb7cf13e83b92dd2e41f37135b98171.pdf
complete dislocated quasi b-metric space
Cauchy sequence
self-mapping
Fixed point
coupled coincidence point
coupled fixed point
eng
Zanco Publishing (Canada)
Communications in Nonlinear Analysis
2371-7920
2371-7920
2016-06-01
2
2
119
128
89730
Tripled Periodic Boundary Value Problems of Nonlinear Second Order Differential Equations
Animesh Gupta
dranimeshgupta10@gmail.com
1
Saurabh Manro
sauravmanro@hotmail.com
2
Department of Mathematics & Computer Science, R.D.V.V. Jabalpur (M.P.) India.
School of Mathematics and Computer Applications, Thapar University, Patiala, Punjab, India.
The present paper proposes a new monotone iteration principle for the existence as well as approximations<br />of the tripled solutions for a tripled periodic boundary value problem of second order ordinary nonlinear<br />differential equations. An algorithm for the tripled solutions is developed and it is shown that the sequences<br />of successive approximations defined in a certain way converge monotonically to the tripled solutions of the<br />related differential equations under some suitable hybrid conditions. A numerical example is also indicated<br />to illustrate the abstract theory developed in the paper.
http://www.cna-journal.com/article_89730_080227e466248d4899325814decf3b17.pdf
Ttripled periodic boundary value problems
tripled fixed point theorem
approximate tripled solutions
eng
Zanco Publishing (Canada)
Communications in Nonlinear Analysis
2371-7920
2371-7920
2016-06-01
2
2
129
138
89731
A mollified solution of a nonlinear inverse heat conduction problem
Soheila Bodaghi
sbodaghi@mail.kntu.ac.ir
1
Ali Zakeri
azakeri@kntu.ac.ir
2
Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran
Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran
In this paper a nonlinear inverse heat conduction problem in one dimensional space is considered. This<br />inverse problem reformulate as an auxiliary inverse problem. Ill-posedness is identified as one of the main<br />characteristics of the inverse problems. So, a numerical algorithm based on the combination of discrete<br />mollification and space marching method is applied to conquer ill-posedness of the auxiliary inverse problem.<br />Moreover, a proof of stability and convergence of the aforementioned algorithm is provided. Eventually, the<br />efficiency of this method is illustrated by a numerical example.
http://www.cna-journal.com/article_89731_d377a884e9a7a0486e7f7cc8711604e7.pdf
Nonlinear inverse heat conduction problem
discrete mollification
space marching method
Stability
Convergence
eng
Zanco Publishing (Canada)
Communications in Nonlinear Analysis
2371-7920
2371-7920
2016-06-01
2
2
139
149
89733
Fixed points of a Θ-contraction on metric spaces with a graph
Wudthichai Onsod
wudthichai.ons@mail.kmutt.ac.th
1
Teerapol Saleewong
teerapol.sal@kmutt.ac.th
2
Jamshaid Ahmad
jamshaid_jasim@yahoo.com
3
Abdullah Eqal Al-Mazrooei
aealmazrooei@uj.edu.sa
4
KMUTT Fixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT),Thrung Khru, Bangkok 10140, Thailand
KMUTTFixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Thrung Khru, Bangkok 10140, Thailand
Department of Mathematics, University of Jeddah, P.O.Box 80327, Jeddah 21589, Saudi Arabia
Department of Mathematics, University of Jeddah, P.O.Box 80327, Jeddah 21589, Saudi Arabia
The aim of this paper is to introduce a new type of contraction called Θ-G-contraction on a metric<br />space endowed with a graph and establish some new fixed point theorems. Some examples are presented<br />to support the results proved herein. Our results unify, generalize and extend various results related with<br />G-contraction for a directed graph G
http://www.cna-journal.com/article_89733_edda754a62f4a5025b69e9773da433ec.pdf
Metric space endowed with a graph
Θ-G-contractions
fixed point