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- Title
Generalized Cayley operator with applications to Cayley inclusions in uniformly smooth Banach spaces.
- Authors
Ram, Tirth; Iqbal, Mohd
- Abstract
In this paper, we present a generalized Cayley operator and a generalized Cayley inclusion problem $ (GCIP) $. A fixed point formulation of $ (GCIP) $ is established and using this an iterative algorithm is developed to show the existence and convergence of the solutions of $ (GCIP) $. We also establish the equivalence of the $ (GCIP) $ and generalized resolvent equation problem $ (GREP) $, and develop an iterative algorithm and some of its equivalent forms to approximate the solution of $ (GREP) $. To support our results, we construct a numerical example and convergence graphs using MATLAB programming.
- Subjects
BANACH spaces; CAYLEY graphs; RESOLVENTS (Mathematics)
- Publication
Mathematical Foundations of Computing, 2024, Vol 7, Issue 1, p1
- ISSN
2577-8838
- Publication type
Article
- DOI
10.3934/mfc.2022043