eng
Research & Science Group Ltd.
Communications in Nonlinear Analysis
2371-7920
2017-06-01
4
2
130
136
89409
Original Article
Strong convergence results for random JungckIshikawa and JungckNoor iterative schemes in Banach spaces
Rashwan Ahmed Rashwan
rr_rashwan54@yahoo.com
1
Hasanen Abuelmagd Hammad
h_elmagd89@yahoo.com
2
Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt.
Department of Mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt.
In this paper, we introduce a new random Jungck-Ishikawa and Jungck-Noor iterative schemes anddiscuss the strong convergence of them to a unique common random fixed point for two nonself randommappings under a general contractive condition in separable Banach spaces. Our results generalize andextend many results in this direction.
https://www.cna-journal.com/article_89409_0cac9e9113515883eb471e3ee8990da9.pdf
random Jungck-Ishikawa iteration
random Jungck-Noor iteration
separable Banach spaces
monotone increasing function
eng
Research & Science Group Ltd.
Communications in Nonlinear Analysis
2371-7920
2017-06-01
4
2
137
148
89410
Original Article
Twisted (α,β)-ψ-contractive type mappings and applications in Partial ordered metric spaces
Animesh Gupta
dranimeshgupta10@gmail.com
1
Ram Narayan Yadava
dryadava@gmail.com
2
Rashmi Rani
rashmi.tarika@gmail.com
3
Saurabh Manro
sauravmanro@hotmail.com
4
Department of Mathematics & Computer Science, R.D.V.V. Jabalpur (M.P.) India.
Former Director, Advance Material Process Research Institute, CSIR-AMPRI, Bhopal (M.P.) India.
Post Graduate Department of Mathematics, A.S.College for Women, Khanna, Punjab, India.
School of Mathematics and Computer Applications, Thapar University, Patiala, Punjab, India.
The purpose of this paper is to discuss the existence and uniqueness of fixed points for new classes of mappings dened on a 0-complete partial ordered metric space. The obtained results generalize some recent theorems in the literature. Several applications and interesαting consequences of our theorems are also given.
https://www.cna-journal.com/article_89410_2c0294d09d4e8eb9174f2ea91465dbfc.pdf
admissible mapping, (
) α-contractive type mappings, (α,β)-ψ-contractive mapping, cyclic mapping, ordered metric space, functional equations
eng
Research & Science Group Ltd.
Communications in Nonlinear Analysis
2371-7920
2017-06-01
4
2
149
166
89506
Original Article
Randomness of Lacunary statistical acceleration convergence of χ3 over p-metric spaces defined by Orlicz functions
Natarajan Rajagopal
nrg1968sastra@yahoo.co.in
1
Nagarajan Subramanian
nsmaths@yahoo.com
2
Pannirselvam Thirunavukkarasu
ptavinash1967@gmail.com
3
Department of Mathematics, SASTRA Deemed University, Thanjavur-613 401, India.
Department of Mathematics, SASTRA Deemed University,Thanjavur-613 401, India.
P.G. and Research Department of Mathematics, Periyar E.V.R. College (Autonomous),Tiruchirappalli{620 023, India.
In this article, the notion of Randomness of Lacunary statistical acceleration convergence of χ3 over p-metric spaces dened by a sequence of Orlicz has been introduced and some theorems related to that concept have been established using four-dimensional matrix transformations. Author's construction with new definitions and also a new statement of theorems of proofs are formulated.
https://www.cna-journal.com/article_89506_e5c621abae31800ef84a657edc73d892.pdf
Analytic sequence
double sequences
χ3 space
Musielak-Orlicz function
random p-metric space
lacunary sequence
statistical convergence
converging faster
converging at the same rate
acceleration eld
triple natural density
eng
Research & Science Group Ltd.
Communications in Nonlinear Analysis
2371-7920
2017-06-01
4
2
167
182
89507
Original Article
Common and coupled random fixed point theorems in S-metric spaces
Rashwan Ahmed Rashwan
rr_rashwan54@yahoo.com
1
Shimaa Moustafa
shimaa1362011@yahoo.com
2
Department of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt.
epartment of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt.
The aim of this paper is to prove some common and coupled random fixed point theorems for a pairof weakly monotone random operators satisfying some rational type contraction in the setting of partiallyordered S-metric space. Our results extend and generalize many existing results in the literature. Moreover, an example is given to support our results. Finally, the results are used to prove the existence and uniqueness of the solution of some random functional equations.
https://www.cna-journal.com/article_89507_62dba1d8aa6abc7f1a59e6a7c4ce3b19.pdf
Measurable mapping
random operator
coupled random coincidence point
S-Metric space
partially ordered set
mixed weakly monotone property