In the present paper we introduce and study some lacunary difference bicomplex sequence spaces by means of Orlicz functions. We make an effort to algebraic topological properties these spaces. also show that are complete paranormed Further, inclusion relations between interesting examples established. Finally, prove results on modified complex Banach Algebra in third section paper.

The interplay between off-shell and on-shell unfolded systems is analysed. formulation of invariant constraints that put an system on shell developed by adding new variables derivation in the target space, extends original $Q$-derivation to a bicomplex. analogue Euler-Lagrange equations dynamics suggested. general class equation defined cohomological terms. necessary sufficient condition for be...

Planar binary trees appear as the the main ingredient of a new homology theory related to dialgebras, cf.(J.-L. Loday, C.R. Acad. Sci. Paris 321 (1995), 141–146.) Here I investigate the simplicial properties of the set of these trees, which are independent of the dialgebra context though they are reflected in the dialgebra homology. The set of planar binary trees is endowed with a natural (almo...

The purpose of this paper is to establish common fixed points six mappings in the context bicomplex valued metric spaces. In way, we generalize some previous well-known results from literature. Moreover, provide a non-trivial example demonstrate authenticity established outcomes. As an application, investigate solution Urysohn integral equation by applying our results.