From the 1 of 4 linked papers with an AI index.
4 papers
Generalized tri-circular projections on some spaces of analytic functions
Hemant Kumar, Himanshu Kumar, Rahul Maurya +1
In this paper, we obtain the structure of a class of contractive projections, known as generalized tri-circular projections, on some functional Banach spaces on the open unit disk…
On Nonlinear Idempotents and Metric Projections in Normed Spaces
Himanshu Kumar, Abdullah Bin Abu Baker, Fernanda Botelho
The paper introduces new classes of possibly nonlinear idempotent maps on normed linear spaces and investigates their properties, especially focusing on metric projections onto Che…
Generalized idempotents on the space of analytic functions with bounded derivatives
Himanshu Kumar, Abdullah Bin Abu Baker, Fernanda Botelho
Let be a complex normed space. A map is called idempotent if . A collection of nonzero distinct orthogonal ($P_1P_2 =…
Barnsley-Navascués fractal operators on Banach spaces on the SierpiÅski gasket
Asheesh Kumar Yadav, Himanshu Kumar, Saurabh Verma +1
In this article, we define fractal operators motivated by the works of Barnsley and Navascués on various function spaces such as energy space, Lebesgue space, and oscillation spac…