Paper's Title:

Characterization of Caristi Type Mapping Through its Absolute Derivative

Author(s):

M. Muslikh¹, A. Kilicman^2,3, S. H. Sapar⁴ and N. Bacho⁵

¹Department of Mathematics,
University of Brawijaya,
Malang 65143, East Java,
Indonesia.
E-mail: mslk@ub.ac.id

²Department of Mathematics,
Universiti Putra Malaysia,
43400 UPM, Serdang, Selangor,
Malaysia
E-mail: akilic@upm.edu.my

³Department of Electrical and Electronic Engineering,
Istanbul Gelisim University,
Avcilar, Istanbul,
Turkey

⁴Department of Mathematics,
Universiti Putra Malaysia,
43400 UPM, Serdang, Selangor,
Malaysia
E-mail: sitihas@upm.edu.my

⁵Department of Mathematics,
Universiti Putra Malaysia,
43400 UPM, Serdang, Selangor,
Malaysia
E-mail: norfifah@upm.edu.my

Abstract:

The purpose of this article to characterize the Caristi type mapping by the absolute derivative. The equivalences of the Caristi mapping with contraction mapping is discussed too. In addition, it was shown that the contraction mapping can be tested through its absolute derivative.

Paper's Title:

The RAFU remainder in Taylor's formula

Author(s):

A. C. Sanchez

''Santa Eulalia'' High School,
Spain
E-mail: csanchezalicia@gmail.com

Abstract:

This work is about the remainder in Taylor's formula. Specifically, the RAFU remainder is studied. Its mathematical expression is given. Some examples are shown. Different ways to obtain this remainder are developed.

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