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Applications of Monotone Operator Theory

In: An Introduction to Nonlinear Analysis and Fixed Point Theory

Author

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  • Hemant Kumar Pathak

    (Pandit Ravishankar Shukla University, School of Studies in Mathematics)

Abstract

We studied so far many nonlinear problems that arose naturally in mathematical physics, differential topology and geometry of manifolds. In mathematical physics, it arises in the problems of elasticity, Newtonian mechanics of particles, theory of gas discharge and quantum fields, etc. In differential topology, it arises in smoothness of surfaces, convex analysis, etc. In differential geometry, nonlinearity arises in study of geodesics on manifolds, surface of constant curvatures, theory of automorphic forms, etc.

Suggested Citation

  • Hemant Kumar Pathak, 2018. "Applications of Monotone Operator Theory," Springer Books, in: An Introduction to Nonlinear Analysis and Fixed Point Theory, chapter 0, pages 607-658, Springer.
    • Handle: RePEc:spr:sprchp:978-981-10-8866-7_8
    DOI: 10.1007/978-981-10-8866-7_8
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