Research & Science Group Ltd.Communications in Nonlinear Analysis2371-79204220170601Strong convergence results for random JungckIshikawa and JungckNoor iterative schemes in Banach spaces13013689409ENRashwan 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.Journal Article20190622In this paper, we introduce a new random Jungck-Ishikawa and Jungck-Noor iterative schemes and<br />discuss the strong convergence of them to a unique common random fixed point for two nonself random<br />mappings under a general contractive condition in separable Banach spaces. Our results generalize and<br />extend many results in this direction.Research & Science Group Ltd.Communications in Nonlinear Analysis2371-79204220170601Twisted (α,β)-ψ-contractive type mappings and applications in Partial ordered metric spaces13714889410ENAnimesh GuptaDepartment of Mathematics & Computer Science, R.D.V.V. Jabalpur (M.P.) India.Ram Narayan YadavaFormer Director, Advance Material Process Research Institute, CSIR-AMPRI, Bhopal (M.P.) India.Rashmi RaniPost Graduate Department of Mathematics, A.S.College for Women, Khanna, Punjab, India.Saurabh ManroSchool of Mathematics and Computer Applications, Thapar University, Patiala, Punjab, India.Journal Article20190622The 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.
Research & Science Group Ltd.Communications in Nonlinear Analysis2371-79204220170601Randomness of Lacunary statistical acceleration convergence of χ3 over p-metric spaces defined by Orlicz functions14916689506ENNatarajan RajagopalDepartment of Mathematics, SASTRA Deemed University, Thanjavur-613 401, India.Nagarajan SubramanianDepartment of Mathematics, SASTRA Deemed University,Thanjavur-613 401, India.Pannirselvam ThirunavukkarasuP.G. and Research Department of Mathematics, Periyar E.V.R. College (Autonomous),Tiruchirappalli{620 023, India.Journal Article20190624In 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. Research & Science Group Ltd.Communications in Nonlinear Analysis2371-79204220170601Common and coupled random fixed point theorems in S-metric spaces16718289507ENRashwan Ahmed RashwanDepartment of Mathematics, Faculty of Science, Assuit University, Assuit 71516, Egypt.Shimaa IbraheemMoustafaepartment of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt.Journal Article20190624The aim of this paper is to prove some common and coupled random fixed point theorems for a pair<br />of weakly monotone random operators satisfying some rational type contraction in the setting of partially<br />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 the solution of some random functional equations.