A Cyclic Douglas–Rachford Iteration Scheme

A Cyclic Douglas-Rachford Iteration Scheme

In this paper we present two Douglas–Rachford inspired iteration schemes which can be applied directly to N-set convex feasibility problems in Hilbert space. Our main results are weak convergence of the methods to a point whose nearest point projections onto each of the N sets coincide. For affine subspaces, convergence is in norm. Initial results from numerical experiments, comparing our metho...

Strong Convergence for Hybrid S-Iteration Scheme

Common Fixed Points by a Generalized Iteration Scheme with Errors

In this paper, we introduce a generalized iteration scheme with errors for convergence to common fixed points of two nonexpansive mappings. This scheme contains a wide variety of existing iteration schemes as its special cases. The main feature of this scheme is that its special cases can handle both strong convergence like Halpern-type and weak convergence like Ishikawatype iteration schemes. ...

Numerical Iteration Scheme to Generate a Response-Spectrum- Compatible Accelerogram

The input motion for seismic analysis of building structures is generally specified in design codes in terms of response spectrum. Therefore, real or simulated time histories for ground motions whose response spectrum matches approximately the design spectrum is desired. Among the various techniques currently available for generating spectrum compatible time histories it is possible to distingu...

Convergence results‎: ‎A new type iteration scheme for two asymptotically nonexpansive mappings in uniformly convex Banach spaces

‎In this article‎, ‎we introduce a new type iterative scheme for‎ ‎approximating common fixed points of two asymptotically‎ ‎nonexpansive mappings is defined‎, ‎and weak and strong convergence‎ ‎theorem are proved for the new iterative scheme in a uniformly‎ ‎convex Banach space‎. ‎The results obtained in this article‎ ‎represent an extension as well as refinement of previous known‎ ‎resu...