diff --git a/libavformat/bit.c b/libavformat/bit.c
index cd088b87ff..5c3eb31c57 100644
--- a/libavformat/bit.c
+++ b/libavformat/bit.c
@@ -125,7 +125,7 @@ const FFInputFormat ff_bit_demuxer = {
 #endif
 
 #if CONFIG_BIT_MUXER
-static int write_header(AVFormatContext *s)
+static av_cold int init(AVFormatContext *s)
 {
     AVCodecParameters *par = s->streams[0]->codecpar;
 
@@ -170,7 +170,7 @@ const FFOutputFormat ff_bit_muxer = {
     .p.subtitle_codec = AV_CODEC_ID_NONE,
     .flags_internal   = FF_OFMT_FLAG_MAX_ONE_OF_EACH |
                         FF_OFMT_FLAG_ONLY_DEFAULT_CODECS,
-    .write_header = write_header,
+    .init             = init,
     .write_packet = write_packet,
 };
 #endif
diff --git a/libavformat/chromaprint.c b/libavformat/chromaprint.c
index 4beb75c7a9..1cdca47ea5 100644
--- a/libavformat/chromaprint.c
+++ b/libavformat/chromaprint.c
@@ -58,7 +58,7 @@ static void deinit(AVFormatContext *s)
     }
 }
 
-static int write_header(AVFormatContext *s)
+static av_cold int init(AVFormatContext *s)
 {
     ChromaprintMuxContext *cpr = s->priv_data;
     AVStream *st;
@@ -181,7 +181,7 @@ const FFOutputFormat ff_chromaprint_muxer = {
     .p.subtitle_codec  = AV_CODEC_ID_NONE,
     .flags_internal    = FF_OFMT_FLAG_MAX_ONE_OF_EACH |
                          FF_OFMT_FLAG_ONLY_DEFAULT_CODECS,
-    .write_header      = write_header,
+    .init              = init,
     .write_packet      = write_packet,
     .write_trailer     = write_trailer,
     .deinit            = deinit,
diff --git a/libavformat/filmstripenc.c b/libavformat/filmstripenc.c
index ec9c814f8c..b5d9179ff3 100644
--- a/libavformat/filmstripenc.c
+++ b/libavformat/filmstripenc.c
@@ -32,7 +32,7 @@
 
 #define RAND_TAG MKBETAG('R','a','n','d')
 
-static int write_header(AVFormatContext *s)
+static av_cold int init(AVFormatContext *s)
 {
     if (s->streams[0]->codecpar->format != AV_PIX_FMT_RGBA) {
         av_log(s, AV_LOG_ERROR, "only AV_PIX_FMT_RGBA is supported\n");
@@ -69,7 +69,7 @@ const FFOutputFormat ff_filmstrip_muxer = {
     .p.subtitle_codec  = AV_CODEC_ID_NONE,
     .flags_internal    = FF_OFMT_FLAG_MAX_ONE_OF_EACH |
                          FF_OFMT_FLAG_ONLY_DEFAULT_CODECS,
-    .write_header      = write_header,
+    .init              = init,
     .write_packet      = ff_raw_write_packet,
     .write_trailer     = write_trailer,
 };
diff --git a/libavformat/gif.c b/libavformat/gif.c
index 8264e118c6..211705facc 100644
--- a/libavformat/gif.c
+++ b/libavformat/gif.c
@@ -40,7 +40,7 @@ typedef struct GIFContext {
     AVPacket *prev_pkt;
 } GIFContext;
 
-static int gif_write_header(AVFormatContext *s)
+static av_cold int gif_init(AVFormatContext *s)
 {
     avpriv_set_pts_info(s->streams[0], 64, 1, 100);
 
@@ -208,7 +208,7 @@ const FFOutputFormat ff_gif_muxer = {
     .p.subtitle_codec = AV_CODEC_ID_NONE,
     .flags_internal   = FF_OFMT_FLAG_MAX_ONE_OF_EACH |
                         FF_OFMT_FLAG_ONLY_DEFAULT_CODECS,
-    .write_header   = gif_write_header,
+    .init             = gif_init,
     .write_packet   = gif_write_packet,
     .write_trailer  = gif_write_trailer,
     .p.priv_class   = &gif_muxer_class,
diff --git a/libavformat/supenc.c b/libavformat/supenc.c
index 9d5ca51894..ebdfc7c939 100644
--- a/libavformat/supenc.c
+++ b/libavformat/supenc.c
@@ -72,7 +72,7 @@ static int sup_write_packet(AVFormatContext *s, AVPacket *pkt)
     return 0;
 }
 
-static int sup_write_header(AVFormatContext *s)
+static av_cold int sup_init(AVFormatContext *s)
 {
     avpriv_set_pts_info(s->streams[0], 32, 1, 90000);
 
@@ -89,6 +89,6 @@ const FFOutputFormat ff_sup_muxer = {
     .p.subtitle_codec = AV_CODEC_ID_HDMV_PGS_SUBTITLE,
     .p.flags          = AVFMT_VARIABLE_FPS | AVFMT_TS_NONSTRICT,
     .flags_internal   = FF_OFMT_FLAG_MAX_ONE_OF_EACH,
-    .write_header   = sup_write_header,
+    .init             = sup_init,
     .write_packet   = sup_write_packet,
 };