List Filter Custom Adapter dont give result

You need to implement Filterable to your Adapter Class and Override getFilter()

Checkout this complete example for Filtering custom Adapter.

UPDATE:

      public class ListFilterActivity extends ListActivity {

                private List<String> list = new ArrayList<String>();
                List<String> mOriginalValues;

                @Override
                public void onCreate(Bundle savedInstanceState) {
                    super.onCreate(savedInstanceState);
                    setContentView(R.layout.main);

                    final MyAdapter adapter = new MyAdapter(this, getModel());
                    setListAdapter(adapter);

                    EditText filterEditText = (EditText) findViewById(R.id.filterText);

                    // Add Text Change Listener to EditText
                    filterEditText.addTextChangedListener(new TextWatcher() {

                        @Override
                        public void onTextChanged(CharSequence s, int start, int before, int count) {
                            // Call back the Adapter with current character to Filter
                            adapter.getFilter().filter(s.toString());
                        }

                        @Override
                        public void beforeTextChanged(CharSequence s, int start, int count,int after) {
                        }

                        @Override
                        public void afterTextChanged(Editable s) {
                        }
                    });
                }

                private List<String> getModel() {
                    list.add("Linux");
                    list.add("Windows7");
                    list.add("Suse");
                    list.add("Eclipse");
                    list.add("Ubuntu");
                    list.add("Solaris");
                    list.add("Android");
                    list.add("iPhone");
                    list.add("Windows XP");
                    return list;
                }

    // Adapter Class            
    public class MyAdapter extends BaseAdapter implements Filterable {

                List<String> arrayList;      
                List<String> mOriginalValues; // Original Values
                LayoutInflater inflater;

                public MyAdapter(Context context, List<String> arrayList) {
                    this.arrayList = arrayList;
                    inflater = LayoutInflater.from(context);
                }

                @Override
                public int getCount() {
                    return arrayList.size();
                }

                @Override
                public Object getItem(int position) {
                    return arrayList.get(position);
                }

                @Override
                public long getItemId(int position) {
                    return position;
                }

                private class ViewHolder {
                    TextView textView;
                }

                @Override
                public View getView(int position, View convertView, ViewGroup parent) {

                    ViewHolder holder = null;

                    if (convertView == null) {

                        holder = new ViewHolder();
                        convertView = inflater.inflate(R.layout.row, null);
                        holder.textView = (TextView) convertView
                                .findViewById(R.id.textview);
                        convertView.setTag(holder);
                    } else {
                        holder = (ViewHolder) convertView.getTag();
                    }
                    holder.textView.setText(arrayList.get(position));
                    return convertView;
                }

                @Override
                public Filter getFilter() {
                    Filter filter = new Filter() {

                        @SuppressWarnings("unchecked")
                        @Override
                        protected void publishResults(CharSequence constraint,FilterResults results) {

                            arrayList = (List<String>) results.values; // has the filtered values
                            notifyDataSetChanged();  // notifies the data with new filtered values
                        }

                        @Override
                        protected FilterResults performFiltering(CharSequence constraint) {
                            FilterResults results = new FilterResults();        // Holds the results of a filtering operation in values
                            List<String> FilteredArrList = new ArrayList<String>();

                            if (mOriginalValues == null) {
                                mOriginalValues = new ArrayList<String>(arrayList); // saves the original data in mOriginalValues
                            }

                            /********
                             * 
                             *  If constraint(CharSequence that is received) is null returns the mOriginalValues(Original) values
                             *  else does the Filtering and returns FilteredArrList(Filtered)  
                             *
                             ********/
                            if (constraint == null || constraint.length() == 0) {

                                // set the Original result to return  
                                results.count = mOriginalValues.size();
                                results.values = mOriginalValues;
                            } else {
                                constraint = constraint.toString().toLowerCase();
                                for (int i = 0; i < mOriginalValues.size(); i++) {
                                    String data = mOriginalValues.get(i);
                                    if (data.toLowerCase().contains(constraint.toString())) {
                                        FilteredArrList.add(data);
                                    }
                                }
                                // set the Filtered result to return
                                results.count = FilteredArrList.size();
                                results.values = FilteredArrList;
                            }
                            return results;
                        }
                    };
                    return filter;
                }
            }
        }