ABSTRACT
Algorithms for single-valued and multi-valued nonexpansive-type mappings have continued to attract a lot of attentions because of their remarkable utility and wide applicability in modern mathematics and other reasearch areas,(most notably medical image reconstruction, game theory and market economy). The first part of this thesis presents contributions to some crucial new concepts and techniques for a systematic discussion of questions on algorithms for singlevalued and multi-valued mappings in real Hilbert spaces. Novel contributions are made on iterative algorithms for fixed points and solutions of the split equality fixed point problems of some single-valued pseudocontractive-type mappings in real Hilbert spaces. Interesting contributions are also made on iterative algorithms for fixed points of a general class of multivalued strictly pseudocontractive mappings in real Hilbert spaces using a new and novel approach and the thorems were gradually extended to a countable family of multi-valued mappings in real Hilbert spaces.It also contains contains original research and important results on iterative approximations of fixed points of multi-valued tempered Lipschitz pseudocontractive mappings in Hilbert spaces. Apart from using some well known iteration methods and identities, some very new and innovative iteration schemes and identities are constructed. The thesis serves as a basis for unifying existing ideas in this area while also generalizing many existing concepts. In order to demonstrate the wide applicability of the theorems, there are given some nontrivial examples and the technique is demonstrated to be more valuable than other methods currently in the literature.
Ejikeme, O (2021). Iterative Algorithms For Single-Valued And Multi-Valued Nonexpansive-Type Mappings In Real Lebesgue Spaces.. Afribary. Retrieved from https://afribary.com/works/iterative-algorithms-for-single-valued-and-multi-valued-nonexpansive-type-mappings-in-real-lebesgue-spaces
Ejikeme, Okpala "Iterative Algorithms For Single-Valued And Multi-Valued Nonexpansive-Type Mappings In Real Lebesgue Spaces." Afribary. Afribary, 15 Apr. 2021, https://afribary.com/works/iterative-algorithms-for-single-valued-and-multi-valued-nonexpansive-type-mappings-in-real-lebesgue-spaces. Accessed 16 Nov. 2024.
Ejikeme, Okpala . "Iterative Algorithms For Single-Valued And Multi-Valued Nonexpansive-Type Mappings In Real Lebesgue Spaces.". Afribary, Afribary, 15 Apr. 2021. Web. 16 Nov. 2024. < https://afribary.com/works/iterative-algorithms-for-single-valued-and-multi-valued-nonexpansive-type-mappings-in-real-lebesgue-spaces >.
Ejikeme, Okpala . "Iterative Algorithms For Single-Valued And Multi-Valued Nonexpansive-Type Mappings In Real Lebesgue Spaces." Afribary (2021). Accessed November 16, 2024. https://afribary.com/works/iterative-algorithms-for-single-valued-and-multi-valued-nonexpansive-type-mappings-in-real-lebesgue-spaces