Zanco Publishing (Canada)
Communications in Nonlinear Analysis
2371-7920
3
2
2017
06
01
Fixed points of multivalued θ-contractions on closed ball
44
51
EN
Eskandar
Ameer
Department of Mathematics, Taiz University, Taiz, Yemen.
eskandarameer@gmail.com
Muhammad
Arshad
Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan.
marshadzia@iiu.edu.pk
We introduce the notion of multivalued θ-contractions on the closed ball and we obtain some new fixed point<br />results for such contractions. An example is given here to illustrate the usability of the obtained results.
metric space,closed ball,Fixed point,multivalued nonlinear θ-contraction
http://www.cna-journal.com/article_89515.html
http://www.cna-journal.com/article_89515_e8041f0e258558a97c08c334f4d17d5c.pdf
Zanco Publishing (Canada)
Communications in Nonlinear Analysis
2371-7920
3
2
2017
06
01
Common coupled ﬁxed point theorem for two pairs of hybrid maps in complex valued metric spaces
52
67
EN
Konduru Pandu
Ranga Rao
Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar -522 510, A.P., India.
kprrao2004@yahoo.com
Shaik
Sadik
Department of Mathematics, Sir C R R College of Engineering, Eluru- 534 007, West Godhawari, A.P, India.
sadikcrrce@gmail.com
Saurabh
Manro
Department of Mathematics, Thapar University, Patiala, Punjab, India.
saurabh.manro@thapar.edu
In this paper, we prove a common coupled xed point theorem for two hybrid pairs of maps with greatest<br />lower bound property in complex valued metric spaces. We also give an example to illustrate our main<br />theorem.
Complex valued metric,w-compatible maps,hybrid pair,g.l.b property
http://www.cna-journal.com/article_89764.html
http://www.cna-journal.com/article_89764_0ada8409e98d1668adbe187ae58eb30f.pdf
Zanco Publishing (Canada)
Communications in Nonlinear Analysis
2371-7920
3
2
2017
06
01
Some remarks on tripled ﬁxed point theorems for a sequence of mappings satisfying Geraghty contraction with applications
68
86
EN
Deepak
Singh
Department of Applied Sciences, NITTTR, Under Ministry of HRD, Govt. of India, Bhopal, (M.P.), India,462002.
dk.singh1002@gmail.com
Varsha
Chauhan
Department of Mathematics, NRI Institute of Research & Technology, Bhopal M.P,India.
varsha18chauhan@gmail.com
Mehdi
Asadi
0000-0003-2170-9919
Zanjan Branch, Islamic Azad University, Zanjan, Iran
masadi.azu@gmail.com
The purpose of this paper is threefold. Firstly, we establish a tripled coincidence fixed point theorem for a sequence of mappings involving Geraghty contraction using compatibility and weakly reciprocally continuous<br />maps in the structure of partially ordered metric spaces. The technique used in A. Roldan et al. [9] and<br />in S. Radenovic [10] are not applicable to the presented theorems, we show that our results cannot be<br />obtained from the existing results in this eld of study and thus our results are completely new and give rise to<br />a new dimension. Secondly, the notable works due to V. Berinde [3], V. Lakshmikantam and L. Ciric [8] and<br />Babu and Subhashini [1] are generalized and extended. Finally, some sufficient conditions are given for the<br />uniqueness of a tripled common fixed point. Consequently, we point out some slip-ups in the main results<br />of R. Vats et al.[12] and present a furnished version of the same. Some illustrative examples to highlight<br />the realized improvements are also furnished. Moreover, existence and uniqueness for the solution of an<br />initial-boundary-value problem are discussed. On the other hand, as an application to establish existence and<br />uniqueness for the system of integral equations our results are utilized.
Partially ordered metric spaces,compatible mappings,weakly reciprocally maps,tripled coincidence point,tripled fixed point
http://www.cna-journal.com/article_89765.html
http://www.cna-journal.com/article_89765_4bd702e3eb13378da52d05c6223e1a68.pdf
Zanco Publishing (Canada)
Communications in Nonlinear Analysis
2371-7920
3
2
2017
06
01
Note on some Iyengar integral inequalities
87
90
EN
Khaled
Boukerrioua
Lanos Laboratatory , University of Badji-Mokhtar, Annaba, Algeria.
khaledv2004@yahoo.fr
Badreddine
Meftah
Laboratoire des telecommunications, Faculte des Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box
401, 24000 Guelma, Algeria.
badrimeftah@yahoo.fr
Tarik
Chiheb
Laboratoire des Tlcommunications, Facult des Sciences et de la Technologie, Universit 8 Mai 1945 de Guelma,. P.O. Box
401, 24000 Guelma, Algeria.
tchiheb@yahoo.fr
In this short note, some Iyengar integral inequalities are established via new extension of Montgomery<br />identity.
Iyengar inequality,lipchitzienne function,Montgomery identity
http://www.cna-journal.com/article_89766.html
http://www.cna-journal.com/article_89766_78ff9818182ab5004d442462581abd7c.pdf