diff --git a/build.gradle.kts b/build.gradle.kts
index 02f63c0..fe6bf9b 100644
--- a/build.gradle.kts
+++ b/build.gradle.kts
@@ -39,7 +39,7 @@ val examplesImplementation by configurations.getting {
 }
 
 dependencies {
-    api("io.reactivex.rxjava3:rxjava:3.0.6")
+    api("io.reactivex.rxjava3:rxjava:3.1.1")
     implementation(kotlin("stdlib"))
 
     testImplementation("org.funktionale:funktionale-partials:1.0.0-final")
diff --git a/src/main/kotlin/io/reactivex/rxjava3/kotlin/flowable.kt b/src/main/kotlin/io/reactivex/rxjava3/kotlin/flowable.kt
index c9e1f3e..efac8b8 100644
--- a/src/main/kotlin/io/reactivex/rxjava3/kotlin/flowable.kt
+++ b/src/main/kotlin/io/reactivex/rxjava3/kotlin/flowable.kt
@@ -9,6 +9,7 @@ import io.reactivex.rxjava3.annotations.SchedulerSupport
 import io.reactivex.rxjava3.core.Flowable
 import io.reactivex.rxjava3.core.Single
 import io.reactivex.rxjava3.functions.*
+import io.reactivex.rxjava3.kotlin.internal.FlowableMapNotNullFlowable
 import org.reactivestreams.Publisher
 
 
@@ -201,3 +202,14 @@ fun <A : Any, B : Any> Flowable<Pair<A, B>>.toMultimap(): Single<MutableMap<A, M
 @BackpressureSupport(BackpressureKind.FULL)
 @SchedulerSupport(SchedulerSupport.NONE)
 fun <T : Any> Iterable<Publisher<T>>.concatAll(): Flowable<T> = Flowable.concat(this)
+
+/**
+ * Returns an [Flowable] that emits the non-`null` results
+ * of applying the given [transform] function to each element of the original Observable.
+ */
+@CheckReturnValue
+@SchedulerSupport(SchedulerSupport.NONE)
+@BackpressureSupport(BackpressureKind.PASS_THROUGH)
+fun <T : Any, R : Any> Flowable<T>.mapNotNull(transform: (T) -> R?): Flowable<R> =
+        FlowableMapNotNullFlowable(this, transform)
+
diff --git a/src/main/kotlin/io/reactivex/rxjava3/kotlin/internal/FlowableMapNotNullFlowable.kt b/src/main/kotlin/io/reactivex/rxjava3/kotlin/internal/FlowableMapNotNullFlowable.kt
new file mode 100644
index 0000000..5491155
--- /dev/null
+++ b/src/main/kotlin/io/reactivex/rxjava3/kotlin/internal/FlowableMapNotNullFlowable.kt
@@ -0,0 +1,133 @@
+package io.reactivex.rxjava3.kotlin.internal
+
+import io.reactivex.rxjava3.core.Flowable
+import io.reactivex.rxjava3.internal.subscribers.BasicFuseableConditionalSubscriber
+import io.reactivex.rxjava3.internal.subscribers.BasicFuseableSubscriber
+import io.reactivex.rxjava3.operators.ConditionalSubscriber
+import org.reactivestreams.Subscriber
+
+internal class FlowableMapNotNullFlowable<T : Any, R : Any>(
+        @JvmField
+        internal val source: Flowable<T>,
+        @JvmField
+        internal val transform: (T) -> R?,
+) : Flowable<R>() {
+    override fun subscribeActual(subscriber: Subscriber<in R>) {
+        if (subscriber is ConditionalSubscriber<*>) {
+            source.subscribe(
+                    MapNotNullConditionalSubscriber<T, R>(
+                            subscriber as ConditionalSubscriber<in R>,
+                            transform
+                    )
+            )
+        } else {
+            source.subscribe(MapNotNullSubscriber(subscriber, transform))
+        }
+    }
+
+    internal class MapNotNullSubscriber<T : Any, R : Any>(
+            downstream: Subscriber<in R>,
+            @JvmField
+            internal val transform: (T) -> R?
+    ) : BasicFuseableSubscriber<T, R>(downstream),
+            ConditionalSubscriber<T> {
+        override fun onNext(t: T) {
+            if (!tryOnNext(t)) {
+                upstream.request(1)
+            }
+        }
+
+        override fun tryOnNext(t: T): Boolean {
+            if (done) {
+                return true
+            }
+            if (sourceMode != NONE) {
+                downstream.onNext(null)
+                return true
+            }
+
+            val result = try {
+                transform(t)
+            } catch (ex: Throwable) {
+                fail(ex)
+                return true
+            }
+
+            if (result !== null) {
+                downstream.onNext(result)
+                return true
+            }
+            return false
+        }
+
+        override fun requestFusion(mode: Int): Int = transitiveBoundaryFusion(mode)
+
+        @Throws(Throwable::class)
+        override fun poll(): R? {
+            while (true) {
+                val item = qs.poll() ?: return null
+                val result = transform(item)
+                if (result != null) {
+                    return result
+                }
+
+                if (sourceMode == ASYNC) {
+                    qs.request(1)
+                }
+            }
+        }
+    }
+
+    internal class MapNotNullConditionalSubscriber<T : Any, R : Any>(
+            downstream: ConditionalSubscriber<in R>,
+            @JvmField
+            internal val transform: (T) -> R?,
+    ) : BasicFuseableConditionalSubscriber<T, R>(downstream) {
+        override fun onNext(t: T) {
+            if (!tryOnNext(t)) {
+                upstream.request(1)
+            }
+        }
+
+        override fun tryOnNext(t: T): Boolean {
+            if (done) {
+                return true
+            }
+            if (sourceMode != NONE) {
+                downstream.onNext(null)
+                return true
+            }
+
+            val result = try {
+                transform(t)
+            } catch (ex: Throwable) {
+                fail(ex)
+                return true
+            }
+
+            return if (result != null) {
+                downstream.tryOnNext(result)
+            } else {
+                false
+            }
+        }
+
+        override fun requestFusion(mode: Int): Int {
+            return transitiveBoundaryFusion(mode)
+        }
+
+        @Throws(Throwable::class)
+        override fun poll(): R? {
+            while (true) {
+                val item = qs.poll() ?: return null
+                val result = transform(item)
+                if (result != null) {
+                    return result
+                }
+                if (sourceMode == ASYNC) {
+                    qs.request(1)
+                }
+            }
+        }
+    }
+}
\ No newline at end of file
diff --git a/src/main/kotlin/io/reactivex/rxjava3/kotlin/internal/MapNotNullObservable.kt b/src/main/kotlin/io/reactivex/rxjava3/kotlin/internal/MapNotNullObservable.kt
new file mode 100644
index 0000000..fdc1a1f
--- /dev/null
+++ b/src/main/kotlin/io/reactivex/rxjava3/kotlin/internal/MapNotNullObservable.kt
@@ -0,0 +1,56 @@
+package io.reactivex.rxjava3.kotlin.internal
+
+import io.reactivex.rxjava3.core.Observable
+import io.reactivex.rxjava3.core.Observer
+import io.reactivex.rxjava3.internal.observers.BasicFuseableObserver
+
+internal class MapNotNullObservable<T : Any, R : Any>(
+        @JvmField
+        internal val source: Observable<T>,
+        @JvmField
+        internal val transform: (T) -> R?
+) : Observable<R>() {
+    override fun subscribeActual(observer: Observer<in R>) {
+        source.subscribe(MapOptionalObserver(observer, transform))
+    }
+
+    internal class MapOptionalObserver<T : Any, R : Any>(
+            downstream: Observer<in R>,
+            @JvmField
+            internal val transform: (T) -> R?
+    ) : BasicFuseableObserver<T, R>(downstream) {
+        override fun onNext(t: T) {
+            if (done) {
+                return
+            }
+            if (sourceMode != NONE) {
+                downstream.onNext(null)
+                return
+            }
+            val result = try {
+                transform(t)
+            } catch (ex: Throwable) {
+                fail(ex)
+                return
+            }
+            if (result !== null) {
+                downstream.onNext(result)
+            }
+        }
+
+        override fun requestFusion(mode: Int): Int {
+            return transitiveBoundaryFusion(mode)
+        }
+
+        @Throws(Throwable::class)
+        override fun poll(): R? {
+            while (true) {
+                val item = qd.poll() ?: return null
+                val result = transform(item)
+                if (result !== null) {
+                    return result
+                }
+            }
+        }
+    }
+}
\ No newline at end of file
diff --git a/src/main/kotlin/io/reactivex/rxjava3/kotlin/observable.kt b/src/main/kotlin/io/reactivex/rxjava3/kotlin/observable.kt
index ed246db..c61c964 100644
--- a/src/main/kotlin/io/reactivex/rxjava3/kotlin/observable.kt
+++ b/src/main/kotlin/io/reactivex/rxjava3/kotlin/observable.kt
@@ -7,6 +7,7 @@ import io.reactivex.rxjava3.annotations.SchedulerSupport
 import io.reactivex.rxjava3.core.Observable
 import io.reactivex.rxjava3.core.ObservableSource
 import io.reactivex.rxjava3.core.Single
+import io.reactivex.rxjava3.kotlin.internal.MapNotNullObservable
 
 
 @CheckReturnValue
@@ -177,3 +178,13 @@ fun <A : Any, B : Any> Observable<Pair<A, B>>.toMultimap(): Single<MutableMap<A,
 @SchedulerSupport(SchedulerSupport.NONE)
 fun <T : Any> Iterable<ObservableSource<T>>.concatAll(): Observable<T> =
         Observable.concat(this)
+
+/**
+ * Returns an [Observable] that emits the non-`null` results
+ * of applying the given [transform] function to each element of the original Observable.
+ */
+@CheckReturnValue
+@SchedulerSupport(SchedulerSupport.NONE)
+fun <T : Any, R : Any> Observable<T>.mapNotNull(transform: (T) -> R?): Observable<R> =
+        MapNotNullObservable(this, transform)
+
diff --git a/src/test/kotlin/io/reactivex/rxjava3/kotlin/FlowableTest.kt b/src/test/kotlin/io/reactivex/rxjava3/kotlin/FlowableTest.kt
index da615ec..5c88366 100755
--- a/src/test/kotlin/io/reactivex/rxjava3/kotlin/FlowableTest.kt
+++ b/src/test/kotlin/io/reactivex/rxjava3/kotlin/FlowableTest.kt
@@ -215,14 +215,15 @@ class FlowableTest {
 
         Flowables.zip(
                 Flowable.just("Alpha", "Beta", "Gamma"),
-                Flowable.range(1,4),
-                Flowable.just(100,200,300)
+                Flowable.range(1, 4),
+                Flowable.just(100, 200, 300)
         ).subscribe(testSubscriber)
 
-        testSubscriber.assertValues(Triple("Alpha",1, 100), Triple("Beta",2, 200), Triple("Gamma",3, 300))
+        testSubscriber.assertValues(Triple("Alpha", 1, 100), Triple("Beta", 2, 200), Triple("Gamma", 3, 300))
     }
 
-    @Test fun testConcatAll() {
+    @Test
+    fun testConcatAll() {
         (0 until 10)
                 .map { Flowable.just(it) }
                 .concatAll()
@@ -231,4 +232,43 @@ class FlowableTest {
                     Assert.assertEquals((0 until 10).toList(), result)
                 }
     }
+
+    @Test
+    fun testMapNotNull() {
+        // map many items
+        Flowable.just(1, 2, 3, 4, 5)
+                .mapNotNull { v -> v.takeIf { it % 2 == 0 } }
+                .test()
+                .assertValues(2, 4)
+                .assertComplete()
+
+        // map an error Flowable
+        Flowable.error<Int>(RuntimeException())
+                .mapNotNull { v -> v.takeIf { it % 2 == 0 } }
+                .test()
+                .assertError(RuntimeException::class.java)
+
+        // map many items, concat with an error Flowable
+        Flowable.just(1, 2, 3, 4, 5)
+                .concatWith(Flowable.error(RuntimeException()))
+                .mapNotNull { v -> v.takeIf { it % 2 == 0 } }
+                .test()
+                .assertValues(2, 4)
+                .assertError(RuntimeException::class.java)
+
+        // test Fuseable
+        Flowable.just(1)
+                .map { it * 2 }
+                .mapNotNull<Int, String> { null }
+                .filter { true }
+                .test()
+                .assertNoValues()
+                .assertComplete()
+
+        // transform throws
+        Flowable.just(1)
+                .mapNotNull { throw RuntimeException() }
+                .test()
+                .assertError(RuntimeException::class.java)
+    }
 }
diff --git a/src/test/kotlin/io/reactivex/rxjava3/kotlin/ObservableTest.kt b/src/test/kotlin/io/reactivex/rxjava3/kotlin/ObservableTest.kt
index 2ed8cae..4e1f09b 100644
--- a/src/test/kotlin/io/reactivex/rxjava3/kotlin/ObservableTest.kt
+++ b/src/test/kotlin/io/reactivex/rxjava3/kotlin/ObservableTest.kt
@@ -254,14 +254,15 @@ class ObservableTest {
 
         Observables.zip(
                 Observable.just("Alpha", "Beta", "Gamma"),
-                Observable.range(1,4),
-                Observable.just(100,200,300)
+                Observable.range(1, 4),
+                Observable.just(100, 200, 300)
         ).subscribe(testObserver)
 
-        testObserver.assertValues(Triple("Alpha",1, 100), Triple("Beta",2, 200), Triple("Gamma",3, 300))
+        testObserver.assertValues(Triple("Alpha", 1, 100), Triple("Beta", 2, 200), Triple("Gamma", 3, 300))
     }
 
-    @Test fun testConcatAll() {
+    @Test
+    fun testConcatAll() {
         var counter = 0
         (0 until 10)
                 .map { Observable.just(counter++, counter++, counter++) }
@@ -271,4 +272,43 @@ class ObservableTest {
                     Assert.assertEquals((0 until 30).toList(), result)
                 }
     }
+
+    @Test
+    fun testMapNotNull() {
+        // map many items
+        Observable.just(1, 2, 3, 4, 5)
+                .mapNotNull { v -> v.takeIf { it % 2 == 0 } }
+                .test()
+                .assertValues(2, 4)
+                .assertComplete()
+
+        // map an error Observable
+        Observable.error<Int>(RuntimeException())
+                .mapNotNull { v -> v.takeIf { it % 2 == 0 } }
+                .test()
+                .assertError(RuntimeException::class.java)
+
+        // map many items, concat with an error Observable
+        Observable.just(1, 2, 3, 4, 5)
+                .concatWith(Observable.error(RuntimeException()))
+                .mapNotNull { v -> v.takeIf { it % 2 == 0 } }
+                .test()
+                .assertValues(2, 4)
+                .assertError(RuntimeException::class.java)
+
+        // test Fuseable
+        Observable.just(1)
+                .map { it * 2 }
+                .mapNotNull<Int, String> { null }
+                .filter { true }
+                .test()
+                .assertNoValues()
+                .assertComplete()
+
+        // transform throws
+        Observable.just(1)
+                .mapNotNull { throw RuntimeException() }
+                .test()
+                .assertError(RuntimeException::class.java)
+    }
 }