| Description |
1 online resource (xviii, 423 pages) : illustrations |
|
text txt rdacontent |
|
computer c rdamedia |
|
online resource cr rdacarrier |
| Bibliography |
Includes bibliographical references (pages 416-417) and index. |
| 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. |
| Note |
Print version record. |
| Contents |
Caristi-Browder operator theory in distance spaces / Vasile Berinde, and Ioan A. Rus -- Iterative approximation of fixed points of single-valued almost contractions / Vasile Berinde, and Mdlina Pcurar -- Approximate fixed points / Mostafa Bachar, Buthinah A. Bin Dehaish and Mohamed Amine Khamsi -- Viscosity methods for some applied nonlinear analysis problems / Paul-Emile Maingé and Abdellatif Moudafi -- Extragradient methods for some nonlinear problems / Qamrul Hasan Ansari and D.R. Sahu -- Iterative methods for nonexpansive type mappings / Abdul Rahim Khan and Hafiz Fukhar-ud-din -- Metric fixed point theory in spaces with a graph / Monther Rashed Alfuraidan -- The use of retractions in the fixed point theory for ordered sets / Bernd S. W. Schröder. |
| Subject |
Fixed point theory.
|
|
Graph theory.
|
|
Théorème du point fixe.
|
|
MATHEMATICS -- Calculus.
|
|
MATHEMATICS -- Mathematical Analysis.
|
|
Fixed point theory
|
|
Graph theory
|
| Added Author |
Alfuraidan, Monther Rashed, editor.
|
|
Ansari, Qamrul Hasan, editor.
|
| Other Form: |
Print version: Fixed point theory and graph theory. London : Elsevier Academic Press, [2016] 0128042958 (OCoLC)938383743 |
| ISBN |
9780128043653 (electronic bk.) |
|
0128043652 (electronic bk.) |
|
0128042958 |
|
9780128042953 |
| Standard No. |
AU@ 000058847742 |
|
AU@ 000064170336 |
|
AU@ 000068127976 |
|
CHNEW 001013654 |
|
DEBSZ 482471948 |
|
GBVCP 879397551 |
|
UKMGB 017897561 |
|
