Fixed point theory and graph theory: foundations and integrative approaches
Fixed Point Theory and Graph Theory provides an intersection between the theories of fixed point theorems that give the conditions under which maps (single or multivalued) have solutions and graph theory which uses mathematical structures to illustrate the relationship between ordered pairs of objects in terms of their vertices and directed edges. This edited reference work is perhaps the first to provide a link between the two theories, describing not only their foundational aspects, but also …
Read More ↓Title Statements
- Full title :Fixed point theory and graph theory : foundations and integrative approaches / Monther Rashed Alfuraidan [aut]; Qamrul Hasan Ansari [aut]
Summary
Fixed Point Theory and Graph Theory provides an intersection between the theories of fixed point theorems that give the conditions under which maps (single or multivalued) have solutions and graph theory which uses mathematical structures to illustrate the relationship between ordered pairs of objects in terms of their vertices and directed edges. This edited reference work is perhaps the first to provide a link between the two theories, describing not only their foundational aspects, but also the most recent advances and the fascinating intersection of the domains. The authors provide solution methods for fixed points in different settings, with two chapters devoted to the solutions method for critically important non-linear problems in engineering, namely, variational inequalities, fixed point, split feasibility, and hierarchical variational inequality problems. The last two chapters are devoted to integrating fixed point theory in spaces with the graph and the use of retractions in the fixed point theory for ordered sets.
Read More ↓Edition Statements
- Publication Date:2016
Publication Statements
- Publisher(s):Academic Press is an imprint of Elsevier
- Place of Publication:London
- Language:eng
- Publication Date:2016
The Physical Object
- Description:1 online resource
Edition Identifiers
- ISBN:9780128043653, 0128043652
- oclc:on1281851906
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