How can you maintain a positive relationship with the other party after mediation?

The better the opponent the easier it is. Experienced, prepared, insightful opponents with normal egos will make every step meaningful without animosity. When opponents lack one of these attributes (or more) the clients on both sides pay more but do not often make progress to justify the added tasks and expense. Certainly clients that are inexperienced or lack insight can cause problems, and can big ego judges will create far more problems than they solve, so, the question about maintaining a positive relationship post mediation is, in my view easy if all involved are able to think their way through issues. Some opponents are just too annoying and a thoughtful process must be replaced with battles. Then next steps are formulaic.

It’s hard to maintain respect if the other side has agreed to mediation, then shows up with either no offer or a minimal offer. This happens all the time these days, even on good cases.

A simple thank you for reaching an amicable solution is suffice. It doesnt need to get preachy about how each listened , shared etc "Express appreciation for the Mediators role?" I assume you are referring to the parties to consider that, which in my experience has always been given not sought. You need to read the situation carefully after an outcome is achieved. Its ok to acknowledge everyone's contribution but accept people may be feeling exhausted, relieved, still anxious and on occasion, a surface fragile friendship until they come down from that days emotional journey. They may be reflecting internally, especially on compromise or concessions. It doesn't need salt re-entering healing wounds

I agree that commitment actions are vital. That old Southern adage that “people show you better than they can tell you” cements this point. Trust in what a person says after a conflict is determined by actions taken or witnessed that support the words. Ensuring clearing communication and understanding of commitment actions is important for all parties as part of mediation. This creates the mutual understanding of efforts by all to rebuild relationships following the meeting.

It's often useful to draft some shared agreements including a contingency plan. This includes agreeing to what everyone agrees to do going forward, and what is expected to happen if people don't meet their agreements.

Bedenken Sie, ein Mediator kann ein Abschlussmemorandum verfassen. Wird dies notariell beglaubigt, tritt Rechtskraft ein. Daran sind alle Medianten gebunden. Das Memorandum spiegelt die Vereinbarung.

Haben Sie das Memorandum in Ihren Händen, kann es hilfreich sein, mithilfe eines Psychologen oder Coaches die Vergangenheit zu verarbeiten und loszulassen.

Often the parties exchange arguments along with offers and counteroffers, but at some point the necessary points have been made and need not be dwelt upon.

I've also found it helpful to start off with an atmosphere of respect in the mediation sessions. By providing a safe, compassionate, supporting environment at the start of mediation, most couples will present with their best selves and really take time to hear the other and acknowledge their fears and concerns. In starting off the process in a respectful manner at the beginning, it tends to carry through post-mediation.

Zu Beginn einer Mediation spreche ich mit den Beteiligten über den Rahmen und die Formen der Kommunikation. Ist der Rahmen vereinbart, kann die Mediation beginnen.

If the mediation session did not result in an agreement, I generally explore the potential for continued negotiations, and whether and how the parties would like my continued assistance.

I do not know the mediation model being referenced in the question. The model described in chapter 10 of "How to Resolve a Conflict (Olagunju, O. Corporate Mediators 2020) has a built-in mechanism for reconciliation as part of its Pentagon Foundation. It is also built around and on the premise of the Philosophy of Conflict. Another underpinning of the model is the emphasis on Trust as Key to effective conflict resolution. There is also the systematic 10-Step-Mediation embedded into the 7-pronged model. In summary, applying the model in How to Resolve a Conflict rebuilds the relationship in conflict, and ultimately makes the question of a challenging relationship after a mediation moot.