Zanco Publishing (Canada)
Communications in Nonlinear Analysis
2371-7920
7
1
2019
10
01
PPF Dependent Fixed Points Of Generalized Contractions Via C_G-Simulation Functions
1
16
EN
Madugula
Vinod Kumar
Department of Mathematics, Andhra University, Visakhapatnam-530 003, India
dravinodvivek@gmail.com
Gutti Venkata
Ravindranadh Babu
Department of Mathematics, Andhra University, Visakhapatnam-530 003, India
gvr_babu@hotmail.com
In this paper, we introduce the notion of generalized Z<sub>G,α,μ,η,φ <sup>-</sup></sub>contraction<br />with respect to the C_G-simulation function introduced by Liu, Ansari, Chandok<br />and Radenovic [20] and prove the existence of PPF dependent fixed points in<br />Banach spaces. We draw some corollaries and an example is provided to illustrate<br />our main result.
alpha-admissible,mu-subadmissible,C-class function,Razumikhin class,PPF dependent fixed point,simulation function and C_G-simulation function
http://www.cna-journal.com/article_93044.html
http://www.cna-journal.com/article_93044_2ca2e6eec039928c12e4075a9299be18.pdf
Zanco Publishing (Canada)
Communications in Nonlinear Analysis
2371-7920
7
1
2019
10
01
Common Fixed Points of (α,Ψ,φ)- Almost Generalized Weakly Contractive Maps in S-metric spaces
17
35
EN
Gutti Venkata
Ravindranadh Babu
Department of Mathematics, Andhra University, Visakhapatnam-530 003, INDIA.
gvr_babu@hotmail.com
Pericherla
Durga Sailaja
Department of Mathematics, Lendi Institute of Engineering and Technology, Vizianagaram-535 005, INDIA.
sailajadurga@yahoo.com
Gadhavajjala
Srichandana
Department of Mathematics, Andhra University, Visakhapatnam-530 003, INDIA.|Department of Mathematics, Satya Institute of Technology and Management, Vizianagaram-535 002,
INDIA.
sri.chandan3@gmail.com
In this paper, we introduce a pair of (α,Ψ,φ)-almost generalized weakly contractive maps in S-metric spaces and prove the existence and uniqueness of common fixed points of such maps under weakly compatible property. Our results extend and generalize the results of Babu and Leta to a pair of maps in S-metric spaces and also generalize the result of Sedghi, Shobe, and Aliouche. We provide examples in support of our results.
S-Metric space,S-weakly compatible,(α,Ψ,φ)-almost generalized weakly contractive maps,property (E. A.)
http://www.cna-journal.com/article_93094.html
http://www.cna-journal.com/article_93094_b8ee31268dfbbcd2b192e5b33d185046.pdf
Zanco Publishing (Canada)
Communications in Nonlinear Analysis
2371-7920
7
1
2019
10
01
Fixed Point Results for Multivalued Operator in G-metric Space
36
49
EN
Saurabh
Manro
sauravmanro@hotmail.com
Tejwant
Singh
Department of Mathematics, Desh Bhagat University, Mandi Gobindgarh, Punjab, India
sauravmanro@gmail.com
ANIMESH
Gupta
Department of Mathematics, Sagar Institute of Engineering, Technology and Research, Ratibad Bhopal (M.P.), India
bvmmat@gmail.com
Rajvir
Kaur
Department of Mathematics, Desh Bhagat University, India
tarika_rs@gmail.com
In this paper, we shall give some results on xed points of multivalued operator on Gmetric spaces by using the method of Kikkawa [6]. Our results generalize and extend some old xed point theorems to the multivalued case.
fixed point,G-metric space,Multivalued operator
http://www.cna-journal.com/article_92588.html
http://www.cna-journal.com/article_92588_297b7bc0b7f0b53ce2e9cf61d3a8d7f7.pdf
Zanco Publishing (Canada)
Communications in Nonlinear Analysis
2371-7920
7
1
2019
10
01
Fixed points of involution mappings in convex uniform spaces
50
57
EN
Joy
Chinyere
Umudu
Department of Mathematics
Faculty of Natural Sciences
University of Jos
Jos
Plateau State
Nigeria
umuduj@unijos.edu.ng
Johnson
Olajire
Olaleru
Department of Mathematics
Faculty of Science
University of Lagos
Akoka
Lagos State
Nigeria
jolaleru@unilag.edu.ng
Adesanmi
Alao
Mogbademu
Department of Mathematics
Faculty of Science
University of Lagos
Akoka
Lagos State
Nigeria
amogbademu@unilag.edu.ng
In this paper, we study some fixed point theorems for self-mappings satisfying certain contraction principles on a $S$-complete convex Hausdorff uniform space, these theorems generalize previously obtained results in convex metric space and convex partial metric space.
involution mapping,$k$-Lipschitzian mapping,$(k,L)$-Lipschitzian mapping,uniform spaces
http://www.cna-journal.com/article_95378.html
http://www.cna-journal.com/article_95378_b3d9c4f66423ff07064257a3241aed39.pdf
Zanco Publishing (Canada)
Communications in Nonlinear Analysis
2371-7920
7
1
2019
10
01
Global Existence of Solutions for A Gierer-Meinhardt System with Two Activators and Two Inhibitors
58
72
EN
Salem
Abdelmalek
0000-0001-9762-9654
Department of mathematics, University of Tebessa 12002 Algeria.
salem.abdelmalek@univ-tebessa.dz
Abdelouahab
Gouadria
Larbi Tebessi University
gouadria.23@gmail.com
Samir
Bendoukha
Department of Electrical Engineering, College of Engineering at Yanbu, Taibah University, Saudi Arabia
sbendoukha@taibahu.edu.sa
This paper deals with a Gierer-Meinhardt model with 2 activators and 2 inhibitors described by a reaction-diffusion system with fractional reactions. The purpose of this paper is to prove the existence of a global solution. Our technique is based on a suitable Lyapunov functional.
Reaction--diffusion system,Gierer-Meinhardt,Global existence of solutions,Lyapunov functional
http://www.cna-journal.com/article_95603.html
http://www.cna-journal.com/article_95603_a35cbd670f2da34775bd7022f8128329.pdf
Zanco Publishing (Canada)
Communications in Nonlinear Analysis
2371-7920
7
1
2019
10
01
Fixed point theorems on a quaternion-valued G-metric spaces
73
81
EN
Adewale
Kayode
Department of Mathematics, University of Lagos, Nigeria.
adewalekayode2@yahoo.com
Johnson
Olaleru
Department of Mathematics, University of Lagos, Nigeria.
joolaler@unilag.edu.ng
Hudson
Akewe
Department of Mathematics, University of Lagos, Nigeria.
hakewe@unilag.edu.ng
In this paper, we introduce the concept of a quaternion-valued $G$-metric spaces which generalize real-valued $G$-metric spaces, complex-valued $G$-metric spaces, real-valued metric spaces and complex-valued metric spaces known in the literature. Analogous the Banach contraction principle, Kannan's and Chatterjea's fixed point theorem are proved. Our results generalize many known results in fixed point theory.
G-metric spaces,G^Q-metric spaces,Quaternion,fixed point
http://www.cna-journal.com/article_93096.html
http://www.cna-journal.com/article_93096_22894c30e6ddb9d1474a8f4bd5148c4a.pdf
Zanco Publishing (Canada)
Communications in Nonlinear Analysis
2371-7920
7
1
2019
10
01
Some new common fixed point theorems for Geraghty contraction type maps in partial metric spaces
73
81
EN
Hamid
Faraji
faraji@iau-saveh.ac.ir
In this paper, we prove some new common fixed point theorems for Geraghtys type contraction mappings on partial metric spaces. Theorems presented are <br /> generalizations of fixed point theorems of Altun et al. [Generalized Geraghty type mappings on partial metric spaces and fixed point results, Arab. J. Math. 2, (2013), no. 3, 247-253]. We also give some examples to illustrate the usability of the obtained results
fixed point,Geraghty contraction,partial metric space
http://www.cna-journal.com/article_95504.html
http://www.cna-journal.com/article_95504_c82f43080fbb18931c63201ea6754839.pdf
Zanco Publishing (Canada)
Communications in Nonlinear Analysis
2371-7920
7
1
2019
10
01
Convergence of CR-iteration procedure for a nonlinear quasi contractive map in convex metric spaces
82
88
EN
Gedala
Satyanaryana
Department of Mathematics, Andhra University, Visakhapatnam-530 003, India
gedalasatyam@gmail.com
Gutti Venkata
Ravindranadh Babu
Department of Mathematics, Andhra University, Visakhapatnam-530 003, India
gvr_babu@hotmail.com
We prove that the modified CR-iteration procedure converges strongly to a fixed point<br />of a generalized quasi contraction map in convex metric spaces which is the main result<br />of this paper. The convergence of Picard-S iteration procedure follows as a corollary to<br />our main result.
Convex metric space,quasi contraction map,CR-iteration procedure and Picard- S-iteration procedure
http://www.cna-journal.com/article_96835.html
http://www.cna-journal.com/article_96835_9571a69cecd393feffff35228982d57d.pdf