This paper proposes a stochastic approximation method for solving a convex stochastic optimization problem over the fixed point set of a quasinonexpansive mapping. The proposed method is based on the existing Authors: Hideaki Iiduka. Content type: Research. Published on: 12 April
Box , Riyadh, , Saudi Arabia Full list of author information is available at the end of the article. In this paper, we study the f -admissibility of a new class of operators. As applications, we establish a new homotopy result and we obtain a partial metric version of the Boyd-Wong fixed point theorem.
Farajzadeh, A. Kaewcharoen, S. We introduce a new family of mappings on by relaxing the nondecreasing condition on the mappings and by using the properties of this new family we present some fixed point theorems for - -contractive-type mappings in the setting of complete metric spaces. By applying our obtained results, we also assure the fixed point theorems in partially ordered complete metric spaces and as an application of the main results we provide an existence theorem for a nonlinear differential equation. Fixed point theory has fascinated many researchers since with the celebrated Banach fixed point theorem.