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Orbital $\varphi$-regularity in coincidence and fixed point problems in metric spaces

Tron Nguyen (nguyenhuutron***at***qnu.edu.vn)

Abstract: The purpose of the present paper is to establish some (approximate) fixed point or coincidence theorems for set-valued mappings defined on metric spaces under the so-called orbital \varphi-regularity of the considered mappings. This is a type of (\varphi,\gamma)-regularity of set-valued mappings which is weaker than orbital regularity. In turn, it is used in the previous work of the author [12] and before by Ioffe in the work [7] to ensure the existence of (approximate) fixed points or (approximate) coincidence points.

Keywords: Orbital regularity, orbital pseudo-Lipschitz, orbital $\varphi$-regularity, (approximate) coincidence point,(,γ)-regularity

Category 1: Nonlinear Optimization

Citation:

Download: [PDF]

Entry Submitted: 12/28/2021
Entry Accepted: 12/28/2021
Entry Last Modified: 01/18/2022

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