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Measure of Noncompactness, Fixed Point Theorems, and Applications

By: agan S. Djordjevic (Edited by) , M. Mursaleen (Edited by) , S. A. Mohiuddine (Edited by)

Manufacture on Demand

Ksh 32,950.00

Format: Hardback or Cased Book

ISBN-10: 1032560096

ISBN-13: 9781032560090

Publisher: Taylor & Francis Ltd

Imprint: Chapman & Hall/CRC

Country of Manufacture: GB

Country of Publication: GB

Publication Date: Apr 24th, 2024

Publication Status: Active

Product extent: 190 Pages

Weight: 453.00 grams

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Presents recent development and research in the theory of the measure of noncompactness and its applications in pure and applied mathematics. Discusses topics such as measures of noncompactness in the space of regulated functions, application in nonlinear infinite systems of fractional differential equations, coupled fixed point theorem.

The theory of the measure of noncompactness has proved its significance in various contexts, particularly in the study of fixed point theory, differential equations, functional equations, integral and integrodifferential equations, optimization, and others. This edited volume presents the recent developments in the theory of the measure of noncompactness and its applications in pure and applied mathematics. It discusses important topics such as measures of noncompactness in the space of regulated functions, application in nonlinear infinite systems of fractional differential equations, and coupled fixed point theorem.

Key Highlights:

  • Explains numerical solution of functional integral equation through coupled fixed point theorem, measure of noncompactness and iterative algorithm
  • Showcases applications of the measure of noncompactness and Petryshyn’s fixed point theorem functional integral equations in Banach algebra
  • Explores the existence of solutions of the implicit fractional integral equation via extension of the Darbo’s fixed point theorem
  • Discusses best proximity point results using measure of noncompactness and its applications
  • Includes solvability of some fractional differential equations in the holder space and their numerical treatment via measures of noncompactness

This reference work is for scholars and academic researchers in pure and applied mathematics.


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