RGNAA PublishingCommunications in Nonlinear Analysis2371-792010120221001ALGORITHM FOR EQUATIONS OF HAMMERSTEIN TYPE AND APPLICATIONS111139947ENMathewAibinuDurban University of Technology0000-0003-4901-1440Surendra C.ThakurDurban University of TechnologySibusisoMoyoDurban University of TechnologyJournal Article20210831Equations of Hammerstein type cover large variety of areas and are of much interest to a wide audience due to the fact that they have applications in numerous areas. Suitable conditions are imposed to obtain a strong convergence result for nonlinear integral equations of Hammerstein type with monotone type mappings. A technique which does not involve the assumption of existence of a real constant whose calculation is unclear has been used in this study to obtain the strong convergence result. Moreover, our technique is applied to show the forced oscillations of finite amplitude of a pendulum as a specific example of nonlinear integral equations of Hammerstein type. Numerical example is given for the illustration of the convergence of the sequences of iteration. These are done to demonstrate to our readers that this approach can be applied to problems arising in physical systems.RGNAA PublishingCommunications in Nonlinear Analysis2371-792010120221001Fixed points of Nesic type contraction maps in Convex metric spaces145282ENPALLAMOUNIKADepartment of Mathematics, Andhra University, Visakhapatnam-530 003, India0000-0002-1920-3612Gutti VenkataRavindranadh BabuDepartment of Mathematics, Andhra University, Visakhapatnam-530 003, India0000-0002-6272-2645GEDALASATYANARAYANADepartment of Mathematics, Dr. Lankapalli Bullayya college, Visakhapatnam-530 013, India0000-0002-1814-4091Journal Article20211210We define Nesic type contraction maps in convex metric spaces and prove the existence and uniqueness of fixed points of these maps in convex metric spaces. Our results extend the results of Nesic ([1], Results on fixed points of asymptotically regular mappings ) from the metric space setting to convex metric<br /><br />spaces.RGNAA PublishingCommunications in Nonlinear Analysis2371-792010120221001Measures of Noncompactness on Ω-distance Spaces.148814ENAsif HJanHazratbal SrinagarTanweer HJalalHazratbal SrinagarJournal Article20220222. The aim of this article is to present a new framework for studying measures of noncompactness in G-metric spaces. First, we introduce the concept of Ω-distance space as an Ω-measure of non-compactness on G-metric spaces. Finally, we use our main result to characterize G-metric completeness.RGNAA PublishingCommunications in Nonlinear Analysis2371-792010120221001SOME LP− TYPE INEQUALITIES FOR POLAR DERIVATIVE OF A POLYNOMIAL151641ENIrfan AhmadWaniMitrigam, Pulwama0000-0003-1036-0512Mohammad IbrahimMirUniversity of KashmirJaminaBanooUniversity of KashmirJournal Article20220509In this paper, we shall prove some Lp<br /><br />inequalities for the polar derivative of a polynomial having zeros<br /><br />in |z| ≤ k ≤ 1 and thereby obtain generalizations and refinements of an integral inequality due to Barchand Charam<br /><br />et al