Vonneumann Publishing House Ink 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_d41d8cd98f00b204e9800998ecf8427e.pdf
Vonneumann Publishing House Ink 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
P
Sailaja
Lendi Institute of Engineering and Technology
sailajadurga@yahoo.com
Gutti
Venkata
Ravindranadh Babu
Department of Mathematics, Andhra University, Visakhapatnam-530 003, India
gvr_babu@hotmail.com
Gadhavajjala
Srichandana
SITAM-GVP
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_d41d8cd98f00b204e9800998ecf8427e.pdf
Vonneumann Publishing House Ink 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
Rajveer
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_d41d8cd98f00b204e9800998ecf8427e.pdf