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Fixed Point Theory and Graph Theory: Foundations and Integrative Approaches
Contributor(s): Alfuraidan, Monther (Editor), Ansari, Qamrul (Editor)
ISBN: 0128042958     ISBN-13: 9780128042953
Publisher: Academic Press
OUR PRICE:   $98.95  
Product Type: Hardcover
Published: June 2016
Qty:
Additional Information
BISAC Categories:
- Mathematics | Graphic Methods
- Mathematics | Calculus
- Mathematics | Discrete Mathematics
Dewey: 515.724
LCCN: 2017288160
Physical Information: 1" H x 7.4" W x 9.3" (2.35 lbs) 442 pages
 
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Publisher Description:

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.