@article { author = {Ahmed Rashwan, Rashwan and Abuelmagd Hammad, Hasanen}, title = {Strong convergence results for random Jungck­Ishikawa and Jungck­Noor iterative schemes in Banach spaces}, journal = {Communications in Nonlinear Analysis}, volume = {4}, number = {2}, pages = {130-136}, year = {2017}, publisher = {Research & Science Group Ltd.}, issn = {2371-7920}, eissn = {2371-7920}, doi = {}, abstract = {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.}, keywords = {random Jungck-Ishikawa iteration,random Jungck-Noor iteration,separable Banach spaces,monotone increasing function}, url = {https://www.cna-journal.com/article_89409.html}, eprint = {https://www.cna-journal.com/article_89409_0cac9e9113515883eb471e3ee8990da9.pdf} } @article { author = {Gupta, Animesh and Narayan Yadava, Ram and Rani, Rashmi and Manro, Saurabh}, title = {Twisted (α,β)-ψ-contractive type mappings and applications in Partial ordered metric spaces}, journal = {Communications in Nonlinear Analysis}, volume = {4}, number = {2}, pages = {137-148}, year = {2017}, publisher = {Research & Science Group Ltd.}, issn = {2371-7920}, eissn = {2371-7920}, doi = {}, abstract = {The purpose of this paper is to discuss the existence and uniqueness of fixed points for new classes of mappings de ned 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.  }, keywords = {admissible mapping, (, ) α-contractive type mappings, (α,β)-ψ-contractive mapping, cyclic mapping, ordered metric space, functional equations}, url = {https://www.cna-journal.com/article_89410.html}, eprint = {https://www.cna-journal.com/article_89410_2c0294d09d4e8eb9174f2ea91465dbfc.pdf} } @article { author = {Rajagopal, Natarajan and Subramanian, Nagarajan and Thirunavukkarasu, Pannirselvam}, title = {Randomness of Lacunary statistical acceleration convergence of χ3 over p-­metric spaces defined by Orlicz functions}, journal = {Communications in Nonlinear Analysis}, volume = {4}, number = {2}, pages = {149-166}, year = {2017}, publisher = {Research & Science Group Ltd.}, issn = {2371-7920}, eissn = {2371-7920}, doi = {}, abstract = {In this article, the notion of Randomness of Lacunary statistical acceleration convergence of χ3 over p-metric spaces de ned 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 de finitions and also a new statement of theorems of proofs are formulated. }, keywords = {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}, url = {https://www.cna-journal.com/article_89506.html}, eprint = {https://www.cna-journal.com/article_89506_e5c621abae31800ef84a657edc73d892.pdf} } @article { author = {Ahmed Rashwan, Rashwan and Moustafa, Shimaa}, title = {Common and coupled random fixed point theorems in S-metric spaces}, journal = {Communications in Nonlinear Analysis}, volume = {4}, number = {2}, pages = {167-182}, year = {2017}, publisher = {Research & Science Group Ltd.}, issn = {2371-7920}, eissn = {2371-7920}, doi = {}, abstract = {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.}, keywords = {Measurable mapping,random operator,coupled random coincidence point,S-Metric space,partially ordered set,mixed weakly monotone property}, url = {https://www.cna-journal.com/article_89507.html}, eprint = {https://www.cna-journal.com/article_89507_62dba1d8aa6abc7f1a59e6a7c4ce3b19.pdf} }