Fixed points are also called as invariant points. Invariant point theorems very essential tools in solving problems arising different branches of mathematical analysis. In the present paper, we establish three unique common using two self-mappings, four self-mappings and six bicomplex valued metric space. first theorem, generate a theorem for by weaker conditions such weakly compatible, general...

Abstract Aromatic B-series were introduced as an extension of standard Butcher-series for the study volume-preserving integrators. It was proven with their help that only method is exact flow differential equation. The question raised whether there exists a integrator can be expanded aromatic B-series. In this work, we introduce new algebraic tool, called bicomplex, similar to variational bicom...