Graphical approximation of common solutions to generalized nonlinear relaxed cocoercive operator equation systems with (A, η)-accretive mappings

Abstract

In this paper, we develop a new perturbed iterative algorithm framework with errors based on the variational graphical convergence of operator sequences with (A, h)-accretive mappings in Banach space. By using the generalized resolvent operator technique associated with (A, h)-accretive mappings, we also prove the existence of solutions for a class of generalized nonlinear relaxed cocoercive operator equation systems and the variational convergence of the sequence generated by the perturbed iterative algorithm in q-uniformly smooth Banach spaces. The obtained results improve and generalize some well-known results in recent literatures.

Semi-conducting Ni/Zn nano-hybrids’ driven efficient electro-catalytic performance: fabrication, characterization, and electrochemical features’ elucidation

“…homogeneous precipitation, sol-gel, solvo-thermal, hydrothermal, electro-spinning etc. (14,15). An array of these chemical and physical methods adopted for the fabrication of nano-materials used in different applications is known for some practical scale limitations.…”