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Fixed Point Theory and Graph Theory - Foundations and Integrative Approaches (Hardcover)
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Fixed Point Theory and Graph Theory - Foundations and Integrative Approaches (Hardcover)
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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.
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