5 Results Found

We study Geraghty-type non-self mappings within the framework of best proximity point theory. By introducing auxiliary functions with subsequential convergence, we establish general conditions ensuring the existence and uniqueness of best proximity p...

This paper is devoted to the study of a multi-parameter subsequential version of the “Wiener–Wintner” ergodic theorem for the noncommutative Dunford–Schwartz system. We establish a structure to prove “Wiener–Wintne...

In this paper, we propose a novel alternating direction method of multipliers based on acceleration technique involving two symmetrical inertial terms for a class of nonconvex optimization problems with a two-block structure. To address the nonconvex...

In this paper, we develop the extended proximal gradient algorithm with Nesterov’s second acceleration (${\mathrm{EAPG}}_s$) for constrained difference-of-convex (DC) optimization problems. ${\mathrm{EAPG}}_s$ has two key links to existing methods: it extends ${\mathrm{APG}}_s$ (for un...

The objective of this paper is to present a new notion of a tripled fixed point (TFP) findings by virtue of a control function in the framework of fuzzy cone metric spaces (FCM-spaces). This function is a continuous one-to-one self-map that is subseq...