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.
The Public Access, L (2021). Iterative Algorithms For Single-Valued And Multi-Valued Nonexpansive-Type Mappings In Real Lebesgue Spaces.. Afribary.com: Retrieved May 06, 2021, from https://afribary.com/works/iterative-algorithms-for-single-valued-and-multi-valued-nonexpansive-type-mappings-in-real-lebesgue-spaces
Library, The Public Access. "Iterative Algorithms For Single-Valued And Multi-Valued Nonexpansive-Type Mappings In Real Lebesgue Spaces." Afribary.com. Afribary.com, 15 Apr. 2021, https://afribary.com/works/iterative-algorithms-for-single-valued-and-multi-valued-nonexpansive-type-mappings-in-real-lebesgue-spaces . Accessed 06 May. 2021.
Library, The Public Access. "Iterative Algorithms For Single-Valued And Multi-Valued Nonexpansive-Type Mappings In Real Lebesgue Spaces.". Afribary.com, Afribary.com, 15 Apr. 2021. Web. 06 May. 2021. < https://afribary.com/works/iterative-algorithms-for-single-valued-and-multi-valued-nonexpansive-type-mappings-in-real-lebesgue-spaces >.
Library, The Public Access. "Iterative Algorithms For Single-Valued And Multi-Valued Nonexpansive-Type Mappings In Real Lebesgue Spaces." Afribary.com (2021). Accessed May 06, 2021. https://afribary.com/works/iterative-algorithms-for-single-valued-and-multi-valued-nonexpansive-type-mappings-in-real-lebesgue-spaces