Some Variants of Krasnoselskii-Type Fixed Point Results for Equiexpansive Mappings with Applications | Zendy

Niaz Ahmad | Zendy; Nayyar Mehmood | Zendy; Ahmed Al-Rawashdeh | Zendy

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Some Variants of Krasnoselskii-Type Fixed Point Results for Equiexpansive Mappings with Applications

Author(s) -

Niaz Ahmad,

Nayyar Mehmood,

Ahmed Al-Rawashdeh

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.579

H-Index - 28

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/2648057

Subject(s) - fixed point theorem , mathematics , type (biology) , fixed point , operator (biology) , discrete mathematics , mathematical analysis , ecology , biochemistry , chemistry , repressor , gene , transcription factor , biology

In this paper, we investigate the Krasnoselskii-type fixed point results for the operator F of two variables by assuming that the family F x , . : x is equiexpansive. The results may be considered as variants of the Krasnoselskii fixed point theorem in a general setting. We use our main results to obtain the existence of solutions of a fractional evolution differential equation. An example of a controlled system is given to illustrate the application.

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