Fixed Point Theory and Graph Theory: Foundations and Integrative Approaches

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Monther Alfuraidan (King Fahd University, Saudi Arabia) Qamrul Ansari (Aligarh Muslim University, India)

Fixed Point Theory and Graph Theory

Foundations and Integrative Approaches

Monther Alfuraidan (King Fahd University, Saudi Arabia), Qamrul Ansari (Aligarh Muslim University, India)

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English

Academic Press Inc
10 June 2016

Algebra; Combinatorics & graph theory

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.

Edited by: Monther Alfuraidan (King Fahd University Saudi Arabia), Qamrul Ansari (Aligarh Muslim University, India)
Imprint: Academic Press Inc
Country of Publication: United States
Dimensions: Height: 234mm, Width: 191mm, Spine: 25mm
Weight: 1.060kg
ISBN: 9780128042953
ISBN 10: 0128042958
Pages: 442
Publication Date: 10 June 2016
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

Monther Rashed Alfuraidan is Associate Professor of Mathematics in the Department of Mathematics & Statistics at King Fahd University of Petroleum & Minerals at Dhahran, Saudi Arabia. He obtained his Ph.D. (Mathematics) from Michigan State University. He has written more than twenty articles on graph theory, algebraic graph theory and metric fixed point theory. He peer-reviewed many articles (among others) for: algebraic journal of combinatorics, Arabian Journal of Mathematics, Fixed Point Theory and Applications and Journal of Inequality and Applications. Qamrul Hasan Ansari is Professor of Mathematics at Aligarh Muslim University, Aligarh, India, and joint professor at King Fahd University of Petroleum \& Minerals, Dhahran, Saudi Arabia. He obtained his Ph.D. (Mathematics) from Aligarh Muslim University, India. He is an associate editor of Journal of Optimization Theory and Applications, Fixed Point Theory and Applications and Carpathian Journal of Mathematics. He also edited several special issues of several journals, namely, Journal of Global Optimization, Fixed Point Theory and Applications, Abstract and Applied Analysis, Journal of Inequalities and Applications, Applicable Analysis, Positivity, Filomat, etc. He has written more than 180 articles on variational inequalities, fixed point theory and applications, vector optimization, etc. in various international peer-reviewed journals. He has edited 6 books for Springer, Taylor & Francis and Narosa, India. He is an author of a book on Metric Spaces published by Narosa, India and has coauthored one book on Variational Inequalities and Nonsmooth Optimization for Taylor & Francis.