Analisis Eksistensi Infimum Image Dari Fungsi Lower Semi-Continuous dari Atas

Authors

  • Qurratul Aini Department of Mathematics, Universitas Mataram

DOI:

https://doi.org/10.29303/emj.v1i1.4

Keywords:

fungsi lower semi-continous dari atas

Abstract

In some cases in applied mathematics, the continuous function is not used, but rather the weaker function, i.e. lower semi-continuous function from above. One of the basic properties of the function that needs to be known is the existence of the infimum value of the function image. In the case of a continuous function, the existence of infimum is assured by several assumptions, one of which is the function domain which is a closed set and the function is a bounded function. In this paper, we describe the properties that ensure the existence of infimum of the image of a lower semi-continuous function from above. Based on the results, it is found that the existence of infimum of the image of a lower semi-continuous function from above is assured in the domain which is a compact set and also assured if the function is a convex function.

References

Bruckner, A., M., Bruckner., J., B,. and Thomson., B., S., 1997, Real Analysis, Prentice Hall. Inc, United States of America.

Chen, Y., Q., and Cho, Y., J., 2004, Nonlinear Operator Theory In Abstract Spaces And Applications, Nova Science Publishers. Inc, New York.

Conway, C., B., 1990, A Course in Functional Analysis, Handerberg Berlin. Inc, New York.

Ekeland, I., and Temam, R., 1976, Convex Analysis And Variational Problems, American Alsevier Publishing Company. Inc, New York.

Munkres, J., R., 2000, Topologi, Prentice Hall. Inc, United States of America.

Published

2018-06-28

How to Cite

Aini, Q. (2018). Analisis Eksistensi Infimum Image Dari Fungsi Lower Semi-Continuous dari Atas. EIGEN MATHEMATICS JOURNAL, 1(1), 23–27. https://doi.org/10.29303/emj.v1i1.4

Issue

Section

Articles

Most read articles by the same author(s)

<< < 1 2