Preprint Article Version 1 This version is not peer-reviewed

On Fixed Point for Derivative of the Interval-Valued Functions

Version 1 : Received: 2 January 2020 / Approved: 2 January 2020 / Online: 2 January 2020 (15:07:09 CET)

How to cite: Muslikh, M.; Kılıçman, A.; Sapar, S.H.; Bachok, N. On Fixed Point for Derivative of the Interval-Valued Functions. Preprints 2020, 2020010019 (doi: 10.20944/preprints202001.0019.v1). Muslikh, M.; Kılıçman, A.; Sapar, S.H.; Bachok, N. On Fixed Point for Derivative of the Interval-Valued Functions. Preprints 2020, 2020010019 (doi: 10.20944/preprints202001.0019.v1).

Abstract

In this article, we show the existence of fixed point for the derivative of interval-valued functions. Meanwhile, the fixed point inquiry will utilize the common fixed point methods under the condition of compatibility of the hybrid composite mappings in the sense of the Hausdorff metric. Some examples are given to support the usability of the result of this research .

Subject Areas

common fixed point theorem; set-valued maps; compatible mappings; differentiable maps; interval-valued functions

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