AN APPLICATION OF FUNCTION SEQUENCES TO THE DARBO'S THEOREM WITH INTEGRAL TYPE TRANSFORMATIONS

Authors

  • Vatan Karakaya Yildiz Technical university
  • Derya Sekman Ahi Evran University

DOI:

https://doi.org/10.30495/jme.v14i0.1060

Keywords:

Fixed point, integral type mapping, measure of noncompactness, function sequences, shifting distance property

Abstract

The purpose of this work is to apply function sequences to Darbo's theorem with the integral type transformation by changing the roles of function sequences with function classes used in fixed point theory and to examine the existence of fixed points. Also, an interesting example will be shown.

Author Biographies

Vatan Karakaya, Yildiz Technical university

Department of Mathematical Engineering

Derya Sekman, Ahi Evran University

Department of Mathematics

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Published

2019-10-29

Issue

Section

Vol. 14, No. 4, (2020)