Certain new type of fixed point results in partially ordered M-metric space

The most recent performances in fixed point theory related to the fixed point, coincidence point, and coupled coincidence point involving mappings in ordered metric spaces are the result of concentrated overwork ordered metric space. Its conclusion was expansive and generalized to well-known oral literature results. A few fixed point outcomes were discovered to be sophisticated self-mappings. Anything that satisfies a generalized week contraction was partially ordered as m-metric space (mms). The specific results also include two self-mappings for coupling coincidence points, coupled common fixed points, and coincidence points in the same qualification. An example is offered to support the findings.

Keywords:

M-metric , (\phi , \psi )-contraction mapping , Fixed point