Von Neumann Publishing House Inc.Communications in Nonlinear Analysis(CNA)2371-79204220171219Strong convergence results for random Jungck-Ishikawa and Jungck-Noor iterative schemes in Banach spaces130136ENRashwan Ahmed RashwanDepartment of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt.Hasanen Abuelmagd HammadDepartment 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 and discuss the strong convergence of
them to a unique common random fixed point for two nonself random
mappings under a general contractive condition in separable Banach
spaces. Our results generalize and extend many results in this
direction.http://vonneumann-publishing.com/cna/131/download-strong-convergence-results-for-random-jungck-ishikawa-and-jungck-noor-iterative-schemes-in-banach-spacesVon Neumann Publishing House Inc.Communications in Nonlinear Analysis(CNA)2371-79204220171220Twisted $(\alpha , \beta)-\psi-$contractive type mappings and applications in partial ordered metric spaces137148ENAnimesh GuptaH.No. 93/654, Ward No.2, Gandhi Chowk Pachmarhi, Dist. Hoshangabad (M.P.) IndiaRam Narayan YadavaFormer Director, Advance Material Process Research Institute, CSIR-AMPRI, Bhopal (M.P.) IndiaRashmi RaniPost Graduate Department of Mathematics, A.S.College for Women, Khanna, Punjab, IndiaSaurabh Manro School of Mathematics and Computer Applications, Thapar University, Patiala, Punjab, IndiaThe purpose of this paper is to discuss the existence and uniqueness of fixed points for new classes of mappings defined on a $0-$complete partial ordered metric space. The obtained results generalize some recent theorems in the literature. Several applications and interesting consequences of our theorems are also given.http://vonneumann-publishing.com/cna/134/download-twisted-alpha-beta-psi-contractive-type-mappings-and-applications-in-partial-ordered-metric-spacesVon Neumann Publishing House Inc.Communications in Nonlinear Analysis(CNA)2371-79204220171229Randomness of Lacunary statistical acceleration convergence of \(\chi^{3}\) over \(p\)-metric spaces defined by Orlicz functions149166ENNatarajan RajagopalDepartment of Mathematics, SASTRA Deemed University,Thanjavur-613 401, IndiaNagarajanSubramanianDepartment of Mathematics, SASTRA Deemed University,Thanjavur-613 401, IndiaPannirselvam ThirunavukkarasuP.G. and Research Department of Mathematics, Periyar E.V.R. College (Autonomous),Tiruchirappalli--620 023, IndiaIn this article, the notion of Randomness of Lacunary statistical acceleration convergence of \(\chi^{3}\) over \(p\)-metric spaces defined by 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 new statement of theorems of proofs are formulated.http://vonneumann-publishing.com/cna/143/download-randomness-of-lacunary-statistical-acceleration-convergence-of-chi3-over-p-metric-spaces-defined-by-orlicz-functionsVon Neumann Publishing House Inc.Communications in Nonlinear Analysis(CNA)2371-79204220171230Common and coupled random fixed point theorems in $S-$metric spaces167182ENRashwan Ahmed RashwanDepartment of Mathematics, Faculty of Science, Assiut University, Assiut 71516, EgyptShimaa Ibraheem MoustafaDepartment of Mathematics, Faculty of Science, Assiut University, Assiut 71516, EgyptThe aim of this paper is to prove some common and coupled random fixed point theorems for a pair of weakly monotone random operators satisfying some rational type contraction in the setting of partially ordered $S-$ 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 solution of some random functional equations. http://vonneumann-publishing.com/cna/145/download-common-and-coupled-random-fixed-point-theorems-in-s-metric-spaces